Greetings Mike. $4K, no way. Not from a tarp anyway. A LOW mileage garage queen
perhaps but it'd be hard to get that kind of money from a 77/78 K. Toytuff needs another CBX, make him an offer and take a road trip. I'd bet he'll pick you up at the airport
then you won't need to repair an unknown.
Those issues are all common.
Ignition switch base (replace) or wire leading to/from it worn and shorting are in all likelihood causing the intermittant 'short' but it would probably be blowing fuses if it is an actual short. This could even be causing a low voltage situation and causing the battery to not charge properly.
These starters really don't go bad. Depending on symptoms - starter button plastic housing inside switch breaks (new switch), solenoid maybe (clean or replace), or if it's 'slipping' then that would be the starter clutch (rebuild, it's located behind the charging rotor on the end of the crank shaft).
Front brake - nothing a rebuild kit and a couple hours won't cure unless the caliper is hosed.
Throttle not pulling could be cable or cable routing.
They all need a battery but why?! The electricals of these are the bain or our existence but thats another story we won't get into UNTIL after you charge then install a new battery and see what the charging system output is across the rpm range.
Only a fresh engine doesn't leak at the head gasket (mostly anyway) so that's REALLY common. Just depends on how bad. This can be corrected by removing the engine, tearing it down and installing heavy duty cylinder studs and retorqueing and replacing o-rings and things along with a fresh head gasket then reinstalling the engine and hoping for better
OR washing off the oil and ignoring it like most do