Will my daughter still be able to qualify for state insurance with a inhertance of 40k?

See https://www.insurance.wa.gov/health-insurance-plans-and-health-care-programs

How do I remove my 90-year old mother from my sister's abusive home?

See https://www.dshs.wa.gov/altsa/home-and-community-services/adult-abuse-and-prevention. Maybe you should ask a court for a guardianship.

EB2NIW Reference letter for another researcher in my field. I am currently a green holder. Is there liability on my end?

As long as your statements are truthful, you're probably okay.

Im going to be 16 in march and my girlfriend is turing 18 in like a few days can i still be with her?

See RCW 9A.44 (http://app.leg.wa.gov/RCW/default.aspx?cite=9A.44).

How much time would my bf serve after running out of state?

There would probably be additional charges for parole violation. See http://app.leg.wa.gov/rcw/default.aspx?cite=9.95.220. Your boyfriend should...

See http://app.leg.wa.gov/RCW/default.aspx?cite=9.41.040 and related statutes.

I married a USC but he died before filing 1-130. What can I do

Apparently, there is a form for a widow: https://www.uscis.gov/i-360

Is Motion for Contempt the best option or is there another way I can go about this just as serious.

If reasoning an negotiations fail, the process for contempt of court can be effective.

How do i get my daughter back she is 13 years old and lives with my mom.

See https://www.washingtonlawhelp.org/issues/family-law/the-child-protection-system.

Can cps lawfully take my NB baby from me at hospital and place with foster family until background check is done on my fam?

See https://www.dcyf.wa.gov/services/child-welfare-system/your-rights-responsibilities. You should probably retain an attorney.