Who signs as sponsor on the I-864a?And question regarding relationship between household member and sponsor?

I suggest you read the line by line instructions regarding relationship and who signs each form.

Why did they sent back the I-485 form?

Is this your third question? More facts are needed to answer your question. If you can not afford to consult with an attorney make an info pass...

My I-485 was rejected

Second question same answer. Read the instructions or consult an experienced immigration attorney to assist you.

Can I send my I-485 application in even if I got back my I-130 receipt but it's not approved?

whether you can send in the I-485 and should have sent it in with the I-130 OR you are required to wait for the I-130 to be approved depends on...

How can I re-open my asylum case?

I suggest you consult an experienced immigration attorney. How to proceed depends on what new facts or changed country conditions have occurred...

Did I violate immigration law?

You may be questioned thoroughly regarding your intent when you entered the USA on a non immigrant visa and your immigration history. Both are...

The response to the RFE is specific as related to your wife's file. I suggest you work with an experienced immigration attorney who will review the...

Is k3 visa still useful, and how to apply for it?

You may file for a K3 visa as soon as you receive a receipt for the I-130. You may read the instructions for filing at USCIS.gov/I-129F.

TPS does allows you to remain in the USA but it does not provide you with a legal status. Therefore you may not adjust to another visa without...

Can immigration deny my Green card for theft offense?

Yes. this may effect your application to adjust status. by agreeing to the diversion program you admitted guilt for immigration purposes. The...