Sloshing around means the cooling system (the heater core is part of this) isn't full, which means it has air in it. You don't want air in it which means you want it full. Fix the cause of the coolant loss so you can fill it and bleed it on last time and be done with it.
I agree that the carbon buildup in that one borescope pic looks normal. The other 7 need to be viewed for comparison.
The plugs need to be compared as well. I use a small Philips screwdriver to poke two rows of four holes into a junk box and insert the plugs as I remove them in the corresponding holes. This way you can do a cylinder-by-cylinder comparison to help pinpoint the problem area(s).
That buildup on the plug could be normal deposits from the additives in gasolines and/or oil that's being burned. Again, a side-by-side comparison is needed.
At this point, I'm really doubting you need a new engine. I'm betting on head gaskets and valve seals if not replacements heads. Either way, swapping on some heads is a one-day job.