If you are doing the plate and immediately doing the second injection you should not be feeling any oil on the baits. How are you getting the temperature reading? Are you using a probe-type thermometer and if yes are you reading the temp from the middle of the mass of plastic in the cup....not off a side or at the bottom?
Its strange that new plastic would separate on a lamination if the temperature was known to be brought up to the conversion point. Its not likely that an oil is creating the headache here unless you are oiling the flat face of the lam plate so the baits don't stick when you open the mold from the belly injection. If you are oiling the plate, I'd be washing the pieces before I ran the top color in on them.
I'm running out of ideas Slabeye.

