Can my wife living in colombia apply for a tourist visa while the I130 has been filled?

Yes she can certainly apply however whether she is approved is a another question with a pending immigrant application.

I-290B was filed and a new AOS application sent a month later. I-290 denied while new AOS application is pending for 4 month.

What is the status of your new adjustment of status application? The previous withdrawal will impact any future filing. Consult with an attorney...

Yes, domestic violence charges generally carry consequences for an adjustment of status application. Every attorney’s fees vary so it is best to...

I'm going to work temporarily in a different state do I need to inform USCIS ?

If you continue to use that address and will ultimately keep it, you do not need to notify US CIS of this temporary relocation.

Is Birth Certificate mandatory for I-130 submission in the F2A category ?

It is best to wait for USCIS to contact you regarding this document or you can submit with NVC.

Filing fee for i539 and biometrics for the applicant and his spouse should be paid in one check or separate for each

You should submit separate checks and separate applications for each applicant, regardless of the fact that they are married.

Expedite a work permit I-765 chances?

It is very difficult to expedite a EAD application as there are delays with processing currently and most people with pending cases are...

Immigration - green card and naturalization in 5 years?

Yes you can apply for naturalization on your own under the 5 year rule & the divorce should not be an issue.

Is it necessary to send a copy of the approval notice sheet that when filing form I-765?

Yes you may submit a copy of the previous EAD as proof of prior approval.

What do I do when denied an i485 and approved i130?

It is best to have an attorney review your entire case history to determine next best steps. Good luck.