Would I need to fill out:
New Jersey NJ-W4 - resident
As well as:
New York IT-2104 - resident
And
New York IT-2104.1 - nonresident?
Furthermore, I'm not sure how many allowances I need to write down on each form. I am single (just sharing an apartment with my girlfriend), no kids or anything like that.
I generally use TurboTax at the end of the year to file the annual returns, if that matters any.