A: This person may have committed misrepresentation in his immigrant visa application by not disclosing that he has a pending criminal case. If this is so, then it will be an issue when he applies for citizenship in the future.
With regard to your claim for child support, you should speak to a Philippine lawyer about securing a court order/judgment in the Philippines and have it enforced (as a foreign judgment) in the US state where the person is residing. This is possible but it might be financially burdensome.
If you and your child are in the US and satisfy the residency requirements to file for child support, then I don’t see any reason why you wouldn’t be able to file in the US.
Disclaimer: The above is for informational purposes only and should not be taken as legal advice. My statements are based only on the facts you’ve provided and may change if additional facts are introduced.
A: Your application is being processed. Broadly speaking, when you send in a form to USCIS to petition someone, extend or change your immigration status, etc., you are essentially “requesting for an immigration benefit”. It’s immigration “lingo”.
I hope you get to reunite with your spouse soon! Good luck!