Can I petition for my husband if he was pulled over at 18, went to jail for an extreme DUI, and was deported shortly after?

I am afraid he might be subject to a permanent bar. Speak with an attorney.

You may petition, but he is likely disqualified from immigration both here and at a U. S. Embassy abroad unless he can successfully seek advanced permission to re-apply, first. He also committed a Federal crime called illegal re-entry, when he unlawfully returned to the U. S. This significantly complicates matters, so I strongly recommend an appointment with a competent and experienced immigration attorney who will take enough time to explain the situation. Otherwise, he may get into trouble. Good luck.