You can find the countries currently eligible for H-2B at...

No one can guarantee that you will not be stopped by immigration officials.

You provide your I-94 showing L2S status.

You need a case-specific analysis of the options available. This is not something that can be answered on a public forum.

The employer can certainly try but the issue is showing a Bachelor’s Degree or higher is needed for the position and that your degree would be...

You can certainly try but it is highly unlikely you will succeed. First, the attorney represents your employer not you. Second, you have not...

It will depend upon which Asylum Office has jurisdiction over the case.

It will depend upon which Asylum Office has jurisdiction over the matter.

You can only seek adjustment of status if you have maintained nonimmigrant status while in the U.S. A pending asylum application does not give you...

It depends upon the ultimate proceedings your spouse was placed in.