you don`t say what caused your valve to break,timing belt? It is very difficult to determine what is your problem but the oil is obviously getting into the cylinders and quite a lot at that,my guess is the head will have to come off and get pressure tested to check for cracks and also warping,also worth looking at would be the turbo and check for play in the impeller which could signify worn bearings/oil seals,would start at the turbo and go from there, good luck.
cdc, December 2014