It is a big jump in interpretation to label Adam as Lucifer, so I would expect to see some big Scriptures that would enable that leap.
So again, I am asking you to provide them. I would like to see them.
It is long so it will be in two parts
Lucifer and Satan
We are told that in the beginning Lucifer was ordained as a beautiful angel, however he was not content to remain under the rule and authority of God. Jealousy reined in his heart and it soon manifested into rebellion that corrupted other angels as well. A battle erupted in Heaven and as one might expect God prevailed and Lucifer and his rebellious followers were kicked out. Ever since then he has been called Satan and it is his desire to keep as many people as possible from getting to heaven and for them to spend eternity in hell instead.
The ones who taught us this used certain scriptures to support their beliefs, so they concluded that their teachings were based on the Word of God. Through these verses and sermons we have come to believe that Lucifer is Satan, however there is a problem.
The name Lucifer only appears one time in the Bible (KJV) and we are told never to accuse or convict anyone on the word of only one witness.
Num 35:30 Whoso killeth any person, the murderer shall be put to death by the mouth of witnesses: but one witness shall not testify against any person [to cause him] to die.
Deu 17:6 At the mouth of two witnesses, or three witnesses, shall he that is worthy of death be put to death; [but] at the mouth of one witness he shall not be put to death.
Deu 19:15 One witness shall not rise up against a man for any iniquity, or for any sin, in any sin that he sinneth: at the mouth of two witnesses, or at the mouth of three witnesses, shall the matter be established.
Consequently we see Lucifer convicted as Satan through a violation of God's method for determining truth. This by itself should be enough to warn us to further consider the scriptures that are used to support this theory. The verses in Isa. 14 are where the name Lucifer is mentioned so let us examine them first.
Isa 14:12 How art thou fallen from heaven, O Lucifer, son of the morning! [how] art thou cut down to the ground, which didst weaken the nations!
Isa 14:13 For thou hast said in thine heart, I will ascend into heaven, I will exalt my throne above the stars of God: I will sit also upon the mount of the congregation, in the sides of the north:
Isa 14:14 I will ascend above the heights of the clouds; I will be like the most High.
Although this passage refers to a man that is the king of Babylon, it is these three verses that are used to confirm Lucifer's one time presence in heaven and his failed plan to usurp the throne of God.
Some teachers like to compare this passage with history and the names of individual rulers of Babylon as well as their families to support their theories. We will not make this error and instead we will follow the Word of God to determine spiritual wisdom. History has its place in Bible study however it must never be allowed to take precedence over God's prescribed method for determining doctrine. Besides following the laws for determining truth we will compare scripture with scripture in accordance with God's Law. This method is mandated in the following verses and was used by both New Testament authors and followers.
Isa 28:10 for precept [must be] upon precept, precept upon precept; line upon line, line upon line; here a little, [and] there a little:
1Cr 2:13 Which things also we speak, not in the words which man's wisdom teacheth, but which the Holy Ghost teacheth; comparing spiritual things with spiritual.
There is another passage in Ezekiel that is used to describe Satan and Lucifer. As in Isaiah this passage is about a man that has become a king but is about to be cut down by God.
Eze 28:13 Thou hast been in Eden the garden of God; every precious stone [was] thy covering, the sardius, topaz, and the diamond, the beryl, the onyx, and the jasper, the sapphire, the emerald, and the carbuncle, and gold: the workmanship of thy tabrets and of thy pipes was prepared in thee in the day that thou wast created.
Eze 28:14 Thou [art] the anointed cherub that covereth; and I have set thee [so]: thou wast upon the holy mountain of God; thou hast walked up and down in the midst of the stones of fire.
Eze 28:15 Thou [wast] perfect in thy ways from the day that thou wast created, till iniquity was found in thee.
Eze 28:16 By the multitude of thy merchandise they have filled the midst of thee with violence, and thou hast sinned: therefore I will cast thee as profane out of the mountain of God: and I will destroy thee, O covering cherub, from the midst of the stones of fire.
There are other verses attributed to Satan that we will address but since these are the two most commonly used to describe Lucifer and Satan as one, we will define the words of these before the others.
Lucifer--  heylel bringing light, brilliant star
If we check with the Webster's 1828 dictionary we find that the word Lucifer was used to describe the planet Venus. During this period of time the sun was considered to be the rising star of the morning (dawn) and not Venus. That fact is also witnessed in scripture where the rising sun is compared to the coming of Jesus.
Mal 4:2 But unto you that fear my name shall the Sun of righteousness arise with healing in his wings; and ye shall go forth, and grow up as calves of the stall.
Satan has done a good job of fooling the church and has done so disguised as one whom appears to bring light, (truth) but in reality they unintentionally spread darkness. (Satan's deceptions) They deceive others just as those who taught them were deceived.
2Cr 11:14 And no marvel; for Satan himself is transformed into an angel of light
2Cr 11:15 Therefore [it is] no great thing if his ministers also be transformed as the ministers of righteousness; whose end shall be according to their works
The word "transformed" must be properly defined so that there is no confusion.
Transformed # 3345 metaschematizo: Disguised to appear as the original but is not the same as the original.
By understanding the word properly we can tell that Satan will appear as a messenger of light, however he is the messenger of darkness, the father of lies.
The next word(s) we will define are "son of the morning"
Son #01121 ben
of the morning #07837 shachar: Is also translated as "dawn"
Both of these words are self described however so that we have no doubt as to who is the brightness of the morning, consider the following scripture
Rev 22:16 I Jesus have sent mine angel to testify unto you these things in the churches. I am the root and the offspring of David, [and] the bright and morning star.
One can see by the actual term "son of the morning" that these are two distinct people being made reference to here. Through the two witnesses of truth in Re.22: 16 and Mal.4: 2 we can see that the sun and the morning that is result of it, refer to Jesus Christ. When the Apostle Peter added to the teachings of Paul he used the term "Day Star" and referred to the time when it will happen within us as the dawn.
Gal 4:19 My little children, of whom I travail in birth again until Christ be formed in you
2Pe 1:19 We have also a more sure word of prophecy; whereunto ye do well that ye take heed, as unto a light that shineth in a dark place, until the day dawn, and the day star arise in your hearts: