Can I change my last name on my marriage certificate?

Contact the court where you got married to see if you can change it.

Adopting my sister's 6 year old kid

This sounds like an immigration issue.

Can I be thrown out?

He would have to evict you or file a divorce proceeding and ask that you be removed from the home.

What can I provide or show so I can get my children back in the family's home?

It sounds like you need some passed drug tests.

Who supervises defendant in Oklahoma?

Yes. Unfortunately. You may be able to pay it out. Ask.

The judge granted 5 years of protection on a VPO containing a minor child and said no contact in anyway except to discuss chil

It means you can only contact her to discuss your child and nothing else. Be very careful and have proof of your conversations. You ashoukd seek...

I don't believe a bow and arrow is considered a firearm.

When I applied for court appointed lawyer I was denied and made to go to court days later not knowing rights

You were denied because you bonded out. It does not matter that your boyfriend has the same judge.

Been married 35 day and husband is cheating on me

If the assets have been commingled, then maybe. If not commingled, it's your separate property

Will the charges be dropped if the officer has resigned and will not be able to appear at trial ever, or can the DA move forward

It is doubtful as someone else will probably be called to testify. Even if the officer resigned, he can still be called or subpoenaed to testify.