Have I-797B approval & EAD based on TPS. Should I get H1b stamped?

This is something to discuss with your lawyer who knows your situation best.

Will my husband be able to adjust his stus? Will it harm I-130 in any way if they give him 10 year ban and I move to MX?

Sounds like he already triggered the ban, In 10 years he can apply.

What is the coverage period for Temporary protected status?

It cover the TPS designation period but may be extended.

Need help finding the Visa Number. My husband entered through the Bahamas and they only have the red stamp.

The visa number is part of the visa in the passport not the admission stamp.

Will my daughter be allowed back into the United States?!

How long has she been out of the United States?

Can I file green card if I came EWI when under 16?

I believe you can. Plenty of good lawyers in LA.

Does it matter which person in a family won the green card lottery? Can the winner have their spouse and kids deported?

I would need more information to answer this question.

Is there any official law or rule that a Canadians can adjust status even if there is no proof of inspection?

Canadian citizens are presumed to be inspected.

Is Beadr is Red Flag?!!

You were not denied a visa because of a beard. The consulate did not believe the relationship.

If untreated yes.