Re: E40D Transmission codes
The 0603 will happen whenever you disconnect the batteries.
If it is running I wouldn't worry about the 0344 cam sensor problem.
Since you are having transmission problems I myself would say that you have a bad torque converter. Hopefully Mark K will chime in where with what he thinks since he is the transmission expert.
Burnt fluid could also be part of the problem since it won't lubricate as good as fresh oil.
96 F250 XLT 4x4, 4:10 gears, 5 speed, Tymar intake and HX hose, downpipe, pyro and boost guages, coolant filter, Luc clutch