Greetings of peace..
Are you aware that once they sin was commited,they asked for repentance from God, and they were placed on earth later? check these refs god willingly
surah al-Baqara (2):30-39, al-A'raf (7):11-25, al-Hijr (15):26-44, al-Isra (17):61-65, Ta-Ha (20):115-124, and Sad (38):71-85.
so nope the reference you quote have no mistake. The first hadeeth you posted refers to the first meal of the people of paradise. Adam and Eve (as) are not people/a group like the hadeeth speaks of, they were merely not who was being referred to in the hadeeth as clear as it is from the section you copied the hadeeth from. if that is the case, where is your evidence? it can also be that the people who enter paradise, the first meal served to them is as mentioned in the hadeeth. Either way if it was Adam and Eve, clearly it does not state Adam and Eve (as) being part of that group, it just specifically mentioned the first meal of 'the people' who enter paradise, how are you so sure it is Adam and Eve? these people can be anyone who is granted paradise by Allaah to enter paradise. I suggest you do your research by studying from those who have more knowledge i.e. knowledgeable people /scholars of Islaam..with sincerety and make clear what you are saying is actually the truth.
what makes you think we would consider the rest of your statements since you failed in disproving the first?
What is your faith? Have you studied the whole Qur'aan? have you studied the Ahadeeth? subhaan'Allaah i hope that i didnt sound harsh if so i apologise