The law is clear that you cannot sue for this.

I seriously doubt it, but that is a question for a recruiter, not a lawyer.

Can a Judge or Court order to amend complaint which will completely replace the original complaint?

If a pleading is deficient, the court can either dismiss or tell you to amend it. Better that they do the latter.

Can a court rules on the merits of a motion without permitting to brief it in opposition?

Mr. Klurfeld is correct. You can ask the court to reconsider but that is unlikely. Please don't do this pro se.

International - issues with contest based in the US + health issue derived from it

The company is within their rights to limit the contest to US citizens. As such, you would have no basis for a lawsuit under these facts.

What charges might a defendant face if a minor who is between the age of 12 and 16 falsely alleges that the defendant raped her?

you have indicated this is a school project. This is not a research tool. You need to do your own homework, lest you be accused of plagiarism.

I was originally pulled over for speeding BUT arrested for a dui. If the speeding is dropped would my dui be also? Read details

Unlikely, but these are things you need to discuss with your own lawyer, who obviously knows more about the case than we do.

Can I sue to get back the money I’m out and stress for having my car illegally towed?

You may well be able to sue for the damage to your car and the parking/ticket costs. You can't sue for the stress.

Should the Judge Recuse Himself? I know the odds of winning a Motion to Disqualify Judge are against me, but it's my only option

Whether I, or anyone else on this site, thinks the judge should recuse himself is irrelevant. He denied the request to do so, and you are now...

If I choose to give up custody of a child, do I still have to pay child support?

The child is still owed support from his biological dad. You can't disown him.