I had a LiquidForce 2013/14 kite (thought it was 2014). I killed the kite and have replaced it with another 2014 LF kite. But they don't seem to be identical. How can I tell if my old bar will be ok for the new kite?

This subject has been covered a million times. Any 4 line bar (of equal length) with any 4 line kite just make sure the pigtails match.

Also the the distance from the kite to where the center lines meet is what is important. Not distance from bar to the split.

The one determines the other , more or less