You can deduct any after-tax amounts that you made for the health insurance.
However, the credit complicates the issue a bit.
Of course, you cannot claim any amounts that were paid on your behalf - see the instructions for lines 2 and 3 on the 8885.
You also cannot claim the amount equal to the HCTC tax credit than you received (line 5, form 8885). So, generally, you can deduct on Schedule A only the amount on line 4 (8885) minus the amount on line 5 (8885).
The New Jersey situation is different in that any pre-tax health insurance premiums (i.e., paid by your employer, if any - I know you are on COBRA) are not pre-tax in New Jersey, so they can be added to the deduction in NJ.
**Say "Thanks" by clicking the thumb icon in a post
**Mark the post that answers your question by clicking on "Mark as Best Answer"
