Can I get some type of compensation after I was accused of aggravated robbery 2 years ago, my charges were dropped, I was arrested and had to bond out

No. that is the system. No one said you were not guilty of anything. they did not have the evidence to prove it as a former DA I dismissed a lot of matters where the folks were guilty as sin but I could not prove it. that is the system, and you don't get anything for being part of it.

It depends on whom you intend to sue. Governmental immunity prevents you from suing the police or prosecutor for ordinary negligence. However if a private citizen intended to harm you with s false claim you can sue that person for a number of things.

It depends on the basis of the arrest. If the police had probable cause to arrest you, then you cannot sue the police. If a witness lied to the police, you could sue the witness. Notice I said lie, IT is not enough to prove that the witness was merely mistaken. I fan attorney represented you on your criminal charges, ask that attorney if he/she thinks you have a legitimate suit for damages. Your attorney knows the evidence that the arrest was based on. If you did not have an attorney, find an injury lawyer or civil rights lawyer to go over the evidence and give you an opinion.

See an attorney. Generally you cannot sue the prosecutor or police, but you MIGHT be able to sue, or have prosecuted, a person who knowing made a false police report.

Possibly. This would be malicious prosecution. There are particular aspects that you need to be able to prove, and there may be a statute of limitations issue. Consult a lawyer in your area.

Very very doubtful, unless you can show malicious prosecution.