Hi. I am filing to renew my permanent resident card. My last name is 2 words - 2 last names. When I tried to efile the system

Surname is last name. If efile does not accept the filing, you can always file a paper application.

My prother is in custody for petty theft and has an ICE detainer

Without an attorney, 99%. With an attorney, it depends on the facts and you would need to discuss those with the attorney.

I am trying to fix my husbands legal status he was deported about 3 yrs ago

He might be able to request permission to return to the US before the 10 year, but to have a real chance at success, you really need to work with...

Hello... I'm a dual citizen of the USA and Colombia.

There are none. He cannot derive any immigration benefits from the adoption, as he is too old.

Can I travel out side the US for 3 weeks if I am during the naturalization process?

Yes

I WAS CAUGHT STEALING FROM A TORE WHERE I WORKED AT. 400 DOLLARS MAX. IT'S MY FIRST TIME GETTING IN TROUBLE WITH THE LAW.

Why are you shouting?

My husband was caught possessing a firearm in 2001 will it affect my green card interview?

Is your husband a US Citizen? If he is and is petitioning you, his arrest will be of no consequence. If he is not, and is the person being...

You cannot. The I-551 is the Green Card itself.

How deep does uscis check employment history? Describe the process in depth if possible

An I-130 does not require checks of I-9s. However, if USCIS believe fraud is involved, they can conduct a full investigation of all facts.

If N-400 appl is withdrawn after finger print just to make changes in marital status will i get my citizenship again when apply

The fact that your wife went back to India would not be reasons for withdrawing an N-400. There has to be more going on here than you are stating.