My understanding of the rules surrounding the intermediate driver license is that the six month suspension must be waited out at which point, assuming the infractions have been paid, the driver would be eligible to reinstate their license after paying the reissue fee and then complying with the remaining statutory requirements.You could certainly see about appealing this suspension but there are no guarantees unfortunately.
If the underlying infractions have been found committed, the only thing a licensing review will do is check the DOL records to make sure they didn't have a mistake in the file. So, no. Not much to do. If you can find a good infraction attorney they may be able to have the finding of committed vacated on the most recent ticket and have it amended. This is not easy.