Can I sue the state of Vermont for the denial of help by the police?
You could file the suit, but you'd lose. First, the state is not responsible for the acts (or lack thereof) of the local police. That is the responsibility of the local government that employs the police—city, county, township, whatever. Second, the state has immunity from suit except for those things for which the state has consented to be sued.
Can they be forced to interview the suspects from a year ago in case something can be learned about who hired them?
I assume you mean can the police be forced to interview them. The answer to that is no. The police owe you no duty to investigate in the first place, and to the extent that they do investigate, they determine how that will be done. You cannot control the police investigation.
Can I obtain damages to be able to afford the services of a PI to help me as well as surveillance equipment now that the problem has escalated even though I've moved across country?
What you'd do with any damages you won isn't relevant. What matters is whether you have a good claim to pursue and what damages you suffered as a result of the conduct. So far, you've not said anything that suggests a good claim against the local government involved here. You'd need to show that the police determination was made solely on the basis of illegal discrimination. Even though the cops might have lied about their reasons for investigating, that is not something that itself gives you a legal claim to pursue for damages. You still are left to prove that the real reason was an impermissible one. If the real reason was a permitted one, you won't win anything.
Is there federal jurisdiction so that an out of state attorney can help me with this?
Federal jurisdiction (i.e. being able to sue in federal court) does not mean that an out-of-state lawyer may represent you. The case would still have to be filed in VT, and only attorneys admitted to practice in that state may represent persons in federal court in that state. You can look for attorneys in other states that are licensed in VT (there are very likely some in neighboring states). In addition, an out-of-state attorney may be able to seek admission in VT pro hac vice (which means that he/sshe can only represent you on that one matter and not any other matter in that state). You'll need to do some searching to find one.
Your real legal claim, it seems to me, is to sue the persons who are actually causing you the harm. You apparently already know the names of at least some of them.