State tax filing

Not sure my question is clear. I have no questions about the taxes I owe Pennsylvania. Since I live here I owe them tax no matter what.  And that is a flat rate if 3%.

 

The question is the 6% of state tax that DE is taking out of my check despite me not being permitted to work in the state for most of last year.  I don't believe I should owe that 6% to DE from March 19 to dec 31 because either the state line was technically closed and/or my work office was not open.  This has nothing to do with PA. This has to do with DE being entitled to my tax money or not.