A: Yes, if you took a deferred adjudication. It will come up on a background check. It will show that it was dismissed and that it is not a final conviction. You will have to apply for a non-disclosure in order to be able to hide the crime from any non government agencies. Speak to a criminal defense attorney or learn how to do it yourself. Good luck.
A: Yes, you can be arrested for a warrant that you did not know about. It happens all of the time. Arrest are not always made immediately by the police. A burglary where the suspects where not caught on the scene is a great example. The police investigate and try to determine who did it and when they find out who they think did it, warrants are issued. Just because a warrant was issued, does not mean that your boyfriend is guilty, they just think he is the guy that was involved in the crime. The police do make mistakes and the wrong person can get charged. I would also second the advice given by attorney Locke. Good luck.
A: If you do not report, then how can the court determine if you are doing well on probation. It's good that you have not been arrested for any other crime, however it does not excuse why you did not follow the court's order. Your fate is in the hands of the judge. On the brighter side, as far as your underlying case goes, it is not very serious. Good luck.