Start by asking the licensing authority what you need to do to get unrestricted.
In "red towns" usually you have to be responsible for large amounts of cash, late-night bank deposits, doctor, lawyer with enemies, etc. In other words they require you to show a need for an unrestricted license. Not fair but that's how it works.
I was issued a restricted license in Boston, got certified as a firearms instructor, wrote a couple of polite letters and BPD re-isuued me an unrestricted license.