It's OK to travel while I-130 is pending. Address changes must be done accordingly and timely. You should be to receive USCIS communication...

No. Holders of F1 visa require authorization from USIS to work. Speak to your school DSO about this matter.

There will be an opportunity to update your DS-260 at interview.

The good news is that the consulate is looking at your application. Based on their review your medical needs to be updated. A current and updated...

Generally, there are challenges in obtaining any type of US visa. Both options K1 and US immediate relative option remain open for discussion...

You have a pending AOS based on marriage to USC. On approval of your I-765, you may work anywhere. J1 visa becomes irrelevant.

Contact your school DSO for guidance.

In your case it is best not to travel abroad at this time.

Consult with an experienced immigration attorney to discuss options for your specific case.

It depends on additional information. In the interim, consult with an attorney to review and discus your options.