Please verify following:
please see below rules for claiming a dependent.
According to these rules your parents are not eligible to claim your as a dependent.
You need to file your own tax return.
Let me know if you need any help.
If your son lived with you and with your parents - your son is a qualified child for either of you - and you may decide who will claim the child.
If you both agree that your parents will claim your son - they may do so.
Let me know if you need any help with reporting.