RE: Engine, back plate troubles
The transmitter batterys are most likely low capacity eight cell Nicds and the receiver pack is likely low capacity four cell Nicds. If they are ten years old them do not use them they need replacement. It does not matter how you charge them or how well they seem to work. Even after cycling At that age they have become a crap shoot.
When charging never let them run down completely this can and will cause some cells to reverse and of course then the system will not function.
There are better uses for old batteries that still will charge. For example a simple flight pack is very handy when building or working on an airplane to keep close by the bench to plug up the RX for centering when needed or simply to drive one of many servo drivers on the market now.
John