married in the bahamas, is this a valid marriage

If you are citizens of and married in the Bahamas and have relocated to the US, yes the marriage is recognized. If you are US citizens and you get married in the Bahamas, you will still be recognized as married, provided that your marriage is legal where it occurs. It may help to get your license in your county and have it signed by the person performing the wedding ceremony.

If you were lawfully married--or what passes for marriage--in any country, that marriage is recognized in the states of the United States. Even common law marriages are recognized if they were lawful where they were commenced.

So long as the marriage was legal in the jurisdiction in which it took place, it is legally recognized in the United States.

Yes, of course.