Get your taxes done using TurboTax
If you work for your NJ Employer as a remote employee (work from home as a telecommuter) then New Jersey will tax you as a nonresident. It's one of the few states that do. If you worked at some other location in Maine for this company, then you shouldn't have NJ taxes withheld from your pay at all, and you should straighten that out with your employer. As it stands, your W-2 for 2018 is showing NJ income and a NJ return is required based on that income. You can file a NJ return showing zero income from NJ to get all of your withholding back. You'll see this screen:
