This is fairly common. Unless your employer reported earnings and withholding in any of those states, you probably don't need to check "I earned money in another state" or file returns.
Basically, out of state income would be income for services performed outside of Washington. Your W-2, if it was work performed in WA, is not out-of-state income. It does not matter that the company is based in MA or Maryland, but that the work was performed in WA. Florida doesn't have a state income tax so that's irrelevant.
Each state with an income tax has a filing threshold, a minimum amount of income required before you must file a return. Your employer's payroll department or preparer should know if you met that requirement and, if so, would report and withhold tax for any such state.
If you have additional questions or details regarding this, please feel free to post in the comments for further clarification.
Here's some more info on that:
https://ttlc.intuit.com/replies/5733903
