US Immigration from Philippines

My wife got her Green Card. We never did the marriage registration to the embassy. Can we just complete the forms and pay the fee for a renewed passport in her married name?

Hi guys, beneficiary here. I just have a question. I can't seem to find any information about this on the official immigration websites as well as other websites, so I thought maybe you guys would know something about this.

So, once I fly to the US and the 90 days start, will I be able to travel to another state outside of the state where my fiance lives before we get married? He lives in Oregon, but if we decide to, say, take a vacation to Hawaii while I'm still under the K-1 visa, am I allowed to fly with him there?

Answers would be appreciated, I hope everyone is having a good day!

attached is from the new I-134. Question on page #3, part 2, #13. beneficiary income. What answer should I fill in for the Total Number of Dependents block?

Long story short, we finally manage to get the visa fee paid this weekend.
We are currently trying to get an interview appointment for first week of June, as well to schedule the medical for next week, but Ustraveldocs is showing not available appointments.

We were trying to get everything done from May 15 to June 20.

Is there any specific day/time i must check the UStraveldocs website to get an appointment, or is it completely random?

HELLO. I am new here and WE JUST GOT OUR APPROVAL NOTICE LAST WEEK BUT WE HAVE A PROBLEM. MY NOA 1 and NOA 2 got my name wrong. Its mispelled. they type my middle initial name wrong. Wrong spelling. What should we do? K1 here