A: The tuition form most likely tells how much tuition you paid that qualifies for the education tax credit. Here are resources from www.irs.gov pub 970 on the tax credits for education: American Opportunity Credit
As for your other question- Since the mother claimed the child then you are not eligible to claim. I am presuming that the mother has custody. If you had custody for over 6 months let me know and I will comment further.
Sorry, but child support is not deductible.
Good luck!