I had a good look at the pics and videos you sent, and honestly, this quote doesn’t match the problem you took the car in for. Your symptoms were rough idle, vibration, and loss of power. No overheating, no history of coolant issues, yet they’re quoting like you’ve blown a head gasket and need a full engine tear-down.
That plug they showed you is just carbon-fouled, which usually means a misfire or running rich. Could be a coil, injector, or even a small vacuum leak, all stuff that can be fixed without opening the motor. The oil leak in that photo is just the valve cover gasket, which is a common thing and not a big job.
That one video where they’re pressure testing the coolant, yeah, it drops pressure, so there is a leak somewhere, but that doesn’t mean the head gasket’s gone. Could easily be a leaking expansion tank, hose, or oil filter housing gasket. None of that requires stripping the head unless they’ve proven otherwise, which they haven’t I'm guessing?
Bottom line, they’re quoting you for a head-off rebuild and full timing chain job without showing a single proper test to prove you need it. No compression results, no leak-down test, no borescope, nothing. Right now it looks more like they saw a big job and went for it, not that they’ve actually diagnosed your problem.
If it was my car, I wouldn’t let them turn the first step into a R55k fishing trip. They need to prove what’s wrong before they start pulling your engine apart.
Also, that “engineering” charge and “subject to further assessment” line basically means they’re planning to send the head away and might still add more costs later. It’s an open cheque with no guarantee of where the bill will stop.