Does Marital Status Show on Passport?

Note that US passports, unlike for some other countries, do not list marital status anywhere on the passport itself. So if it's a concern like "I don't want certain people who might see my passport to know that I am married", that should not be an issue.

Do I have to put marital status on passport?

Have you ever been married? If so, it's necessary to provide information about your spouse on your passport application. If you're not currently married but have been in the past, you'll need to supply information about your most recent spouse.

Does your passport say if you are married?

The airline or TSA will not ask for a copy of your marriage license. They have no idea that you are married or remarried, nor will they ask. Your passport and drivers license do not need to match.