Damn y'all, there's a lot of bad advice and unnecessary pessimism ITT.
OP, you're not in a bad position. You have a decent GPA and GI bill that will cover a good chunk of tuition at many schools. If you focus on schools that are splitter-friendly and ones that like vets, especially publics and privates with generous Yellow Ribbon programs, you've got a good chance at landing a good school at a reasonable price.
While it's wise to start thinking about which schools you want to apply to, you should put your energy over the next few months into getting as high an LSAT as possible. If you haven't already checked out the LSAT prep board, do so - it's a very good resource. Many re-takers have found this particular thread -
NoodleyOne's Foolproof Guide to a 179 for Retakers - very helpful. W/r/t your previous experiences with the LSAT, the folks above are right - they won't count against you anywhere other than HYS. LSAC allows three sittings in any two-year period, so you'll have three more cracks at the nut.
With your GPA, you're below the floors for HYS and Berkley, but the good news is there are plenty of T14 schools that would love to have a vet with a high LSAT. If you get a 172 or above, you'll have a good chance at NYU and down. If you haven't already checked out
LSN, do that as it'll give you an idea what score you need to get into a good school. You'll notice that NVPNG in particular are splitter-friendly.
Also take a look at
Law School Transparency. Some of the schools you mention, like George Mason and GW, do not have a very good track record of placing their grads into good legal employment. Even though GW has an 80% employment rate on LST, the Fed Clerkships + Large Firm score is only 30% - significantly lower than the T14s and good regional schools like USC or UCLA. Generally, the higher the FedClerkships + Large Firm score, the better the school.
Good luck and hope this info helps you.