I was arrested and I gave a fake name and am not a citizen am from Colombia I have 3 kids can I get. Deported

There are many reasons one can get deported. Since you asked that question and stated you are not a citizen, I am guessing you have no status at...

Getting a green card is necessary before qualifying for citizenship. No other way.

Can two independently qualified sponsors(G.CARD holder and CITIZEN) be both used for immigration petition,so USCIS can choose?

It is not a contest, just a matter of meeting the requirements. Make your choice and file it.

My wife is under a TD Visa (Canadian in the U.S). There's no way at all that she could work? Will that ever change?

No cannot work and nothing inthe works to change that. She can however get a status change on her own credentials.

Can relative immigration petition be filed for a spouse with d following cases?

You have lived an interesting life. Best to find a good family lawyer to work out your issues and then see an immigration attorney.

Do we have to do I-130 and I-485 together (Concurrent)?

Yes you can but since I130 conveys nothing but a relationship verification, wait until you have enough for both, or not.

Will there be any specialty filing Green Card from Non Profit Organizations? Is it the same as all?

Certification process is the same for both.

Can my brother get tourist visa just by a invitation letter from me or do I need to prepare additional documents?

His proof will be his ties to his country like his business, family, property etc. Want to overcome any possible intent to stay issues.

Will an alien have a problem in immigration process if he is once divorced?

No, not just from the divorce. However, marriage fraud is a big no-no with immigration so subsequent marriage by him and attempts to file for his...

Nvc

Best to wait until you receive a request for evidence. If you have, respond now.