I entered visa-free and I’d like to marry right away.
I’d like to register the marriage right after entering visa-free and immediately move into the green card process.
It’s been a month since I entered the U.S. I’d like to know if there would be any problem proceeding straight into the green card process.
The stated purpose of visa-free entry is travel/tourism, so an action (marriage) that goes beyond that stated purpose can raise suspicion. So it would help to secure as much genuine evidence as possible showing that you and your partner have been in a relationship since before this entry, up to the present.