Yes, you can still be arrested even after a month and even after you've paid restitution to the owner of the vehicle. The fact that you've made the complainant financially whole does not mean that the act was legal in the first place. You can still be charged and, in fact, convicted, which is why you want to steer clear of the police.
The most basic premise in all of criminal law is that if you think you may be the suspect of a crime, you should never talk to the police without a lawyer. You have the right to remain silent, and if you give up that right, anything you say to the police, even what you think may be helpful, can be twisted and used against you.
You are under no obligation to talk to the police. Failing to talk to him can NEVER be used against you. That's your right under the Fifth Amendment to the Constitution. What can you possibly say to them that can help you? Absolutely nothing in this set of circumstances. A confession won't do anything good for either you or your case.
If the police already have enough evidence to charge you, they will without your coming in to talk to them, but at least you won't have made any kind of a record which can hurt yourself when the case comes to court. If you talk to them, on the other hand, they would generally try to intimidate you into a confession.
Get a local lawyer and see if he or she wants to go with you to talk to the detective. I'm sure that the lawyer will say no. Let the lawyer do the talking to the police. Once the police know there's a lawyer on the case, he won't bother you anymore. They will either charge you or not, and in the former instance, your lawyer will take matters over from there