Tom:

The hot cap has two likely possibilities: either the cap is shorted
internally (an ohmeter check will show leakage) or you have bad diode(s) so
AC is being applied to the cap. An ohmeter will show the diodes as bad.

Of course a wiring error could also be involved, but I am assuming you have
double checked that.

If the cap is running hot you probably don't have the correct voltage for
the VFO, and correcting it may solve the other VFO problem.

Roger K6XQ