JR. on BC RICH models normally means that it has a full scale, but the guitar body is slightly smaller for smaller people.... ala the ibanez mikros....
one way or another the Jr V's are really nice guitars... the pick-up i think are a bit on the bright side, but you can't go wrong with a neck-thru.
The Jackson looks cool. I had one of those (I had both actually except the LTD was a V350). I suggest the V-350 because the offset wing on the jackson is dangerous.