Can I rejoin the military if I had an OTH discharge?

No.

Recipients of OTH discharges are barred from reenlisting into any component of the Armed Forces (including the reserves), and are normally barred from joining theArmy National Guard or Air National Guard, except under rare circumstances that require exception-to-policy waivers. As of September 2006, all 50 states had policies barring the reenlistment of OTH discharge recipients.

In addition, the majority of veterans' benefits are not available to individuals who receive an other than honorable conditions discharge, including the Montgomery GI Bill and (in most cases) VA healthcare benefits.