Sounds like you've got an output problem, but the generator itself is still working.
I'd find a manual (schematic) for it if I could.
I think you mean a 'BNC' connector for the output.
Your transistors are heat sinked, so they're supposed to get hot. They may be bad, but
something in front of them made them get that hot if you've got no output.
A schematic should help you a lot in isolating the problem.