tansta- Where were the cases splitting? At the neck, the shoulder, or at the base? Splitting at the neck and shoulder are the best signs of a headspace issue. Keep in mind that the .303 headspaces on the rim, not the shoulder, and the chambers are always loose on the Enfields. Helps prevent jamming. On a #4mk1 or #5mk1, the headspace is adjusted with the bolt head. There are 4 different sizes, including non-standard, that can be had to fix headspace on an Enfield.
351- take a pistol cleaning rod with the patch holder ring thingy on the end, and put a rather large patch in it. Remove the bolt of your mk2, and by hand, tap the big patch on the rod into the chamber jamming it in the cartridge case. Get it tight, then start to tug it back. The .303 is a tapered case, and I was always able to extract the broken case. Keep at it and I bet you will be able to get the broken case out.