If I have an arrest warrant will dhs know about it if I apply for benefits

Lots of legal questions here. I'm not an OR lawyer, and this is not legal advice. I am not and will not assist you with fleeing custody. But generally if you have an arrest warrant, it will be entered into state and federal data bases so that any time you provide your Drivers License number, Social Security number, or other ID numbers you will be flagged and then arrested on the warrant. DHS is almost certainly tapped into all state and federal criminal databases where a warrant would be listed. Applying for any benefits will require providing you ID information, which will flag you, and lead to your arrest. You may also be prevented from leaving your location due to the probation without a court order allowing you to do so. Face the facts that you cannot run, everyone gets caught eventually. And when they do, it's always more severe punishment and it's always really bad timing for the person, and it can be a violent apprehension (no knock raids, guns out, pets shots and killed, property damaged, etc.). Do the right thing, hire a lawyer, follow the rules, and if required turn yourself in. Grow up, put this behind you, do what is required to be done by the law, and get past it and on with your life.