State tax filing

Well, the payroll company paid half a year's taxes to New Jersey because paychecks say they didn't know that was a thing.  Now I owe PA 600+ dollars in taxes. And NJ has that money. I will have to file in NJ as well to get that refund and pay it to PA. If I use Turbotax I have to pay an additional $44 to file electronically. How can I fix this, or will I have to fill out the form manually and submit to receive the refund.