The licenses aren't for use in getting around Seattle, they're for getting past backwater security teams of AK-97 wielding thugs. People who eat war for breakfast. The worse your backstory, the bigger the bribe they'll demand. If you bring something TOO crazy, the bribe just might be the item in question.
F-rated firepower is not a good idea. If it's due to sound suppressors, dump them and get barrel-mounted ones later. Or get new firearms entirely once you're outside Seattle.