Receiving or being "on public assistance" is not disqualifying and or not an element of criteria for the benefit sought. In addition, you already...

If the information you provided is accurate about I485, you are okay entering the US on H1 visa.

EB3 would be the appropriate category of visa. The drawback is the long waiting time for processing. Good luck to you.

You are all set and good luck in your studies in Canada.

Yes, the only way to fix it by contacting USCIS to fix the error.

Yes, you may contact USCIS to fix your online application. Good luck to you.

Yes, while your asylum application is pending, it is possible to be included in processing of spouse pending EB3 application.

Yes, if the matricular sufficiently identifies him in the document and meets airport officials' criteria.

The published processing times is a reasonable prediction on when your I130 would be processed.

An LPR returning from a visit of more than 180 days is subject to the grounds of inadmissibility and can be questioned as to potential abandonment...