How do I find out if I owe taxes or not? None of my employers withdrew Federal income taxes, and all my W-2's are blank in Box 2?

Unless you made estimated tax payments, you almost certainly owe if your employers didn't withhold taxes for you (why wouldn't they do this? Strange) TurboTax will figure out the taxes you owe as you proceed through the interview.

Your Standard Deduction is $12,000  (unless someone can claim you as a dependent).
In any case, If you made less than $12,000 you won't owe anything.