Yes. There are LEDs for standby/tv/radio/rec/timer on the front panel.Ideally the unit in question is easy to confirm as not working, by the lack of a pilot light or something.
There will be one. It'll probably be a PCB mounted one in vertical cylinder looking like an electrolytic capacitor with printing on the top end and close to the mains inlet.Unfortunately can't tell if there is an internal fuse.
In which case the link I provided in post #6 may be of use, although you can no longer obtain the parts from that website.It's more likely to be a leaky/dried out/split electrolytic capacitor - look for any with a bulging top.
I would never make such an assumption.That will beyond the OP's capabilities, I'm sure.