It appears you have been married for 3 years. Under INA 319(a), you count from the date of CR and not date of marriage for naturalization. Keep in...

You may consider consulting a lawyer to guide you through the complex and technical aspects of change from TPS to EB-3.

There is more to the qualifications for naturalization than US residency. Consult an immigration attorney for further guidance. Good luck.

You must answer "Yes." You were cited for traffic violation that includes property damage. The court found you guilty and you paid a fine.

There are gaps in your narrative/questions. Additional information may help because it is impossible to transition from visitor to LPR.

Five years as LPR. Time abroad for each foreign trip should not be more than 180 days. There are other requirements for naturalization. Speak to an...

You may marry a USC while you are on ESTA.

Provided that other requirements are met; it is possible to change from J1 to EB3.

The regulation is not clear on this topic. However, I doubt there would be any negative effect, just for hosting asylum/refugee applicants.

I would share spouse's immigration history with appropriate lawyer to determine the duration of inadmissibility..