We've explained a lot of the whys and wherefores of your situation, but to simplify the answer to your basic question:
Q. Can I take the first one on my tax return the second one goes to his tax return + his W-2?
A. It depends on how much is in box 1 of the first 1098-T. If it is more than $4000, yes you enter only the first 1098-T on your return. On his return, he enters both of them and follows the interview. In particular, be on the lookout for a screen “education expenses used for a tax credit”. It will usually be prepopulated (sometimes with $10K instead of the more appropriate $4K). You can change it for the amount you want to allocate to the AOTC, $4000 in your case. .
