How do I submit Form 8863 for the American Opportunity and Life Time Learning Credit on Turbo Tax. There isn't an option in the Education section.

You don't prepare form 8863.  You enter your 1098-T and other educational info and TurboTax (TT) gives you the education credit, if you qualify.

You don't qualify if you are claimed as somebody's dependent.

In TurboTax (TT), enter at:

Federal Taxes Tab (Personal for H&B version)

Deductions & Credits

-Scroll down to:

--Education

  --Education Expenses

There's a new urban myth among college students that says they can get a $1000 from the government just for filing a tax form. For most of them, they simply aren't eligible. A full time unmarried student, under age 24, even if you don't qualify as a dependent, is only eligible for the refundable portion of the American Opportunity Credit if he supports himself by working. You cannot be supporting yourself on parental support, 529 plans or student loans & grants. You usually must have actually paid tuition, not had it paid by scholarships & grants.  It is usually best if the parent claims that credit. 

You cannot claim that credit if you are, or can be, claimed as a dependent by someone else.

If you are eligible, you have answered  something wrong, in the interview. But, a lot of people are just not eligible. See https://www.irs.gov/Individuals/AOTC

https://www.irs.gov/newsroom/american-opportunity-tax-credit-questions-and-answers

 https://www.irs.gov/individuals/llc

https://www.irs.gov/pub/irs-pdf/f8917.pdf