I had a Mk111 until a year or so back.
The starting issue is easily sorted with an Oddysey battery and a 4 brush (from memory) conversion to the starter motor which is easy to do.
Those porous heads were, according to legend, from a bad batch which were supposed to have been scrapped, but quite a few found their way back onto the market.
It vibrated quite badly as it had been sitting for years and the isolastic rubbers had gone hard and cam shaped. I replaced them and it helped, but I took it to Norman Whyte at Thruxton and within half an hour he had transformed the bike by adjusting both the isolastics and the clutch. Both of which I couldn't for the life of me sort properly.
He reckoned the manuals were wrong on both these counts, and he should know as he was both the development engineer and the factory racer for these bikes.
They have a lot of torque and bags of character, are able to keep up with modern motorway traffic. There's loads of affordable mods and aftermarket bits an bobs that's make them a very useable classic bike.
IMHO the best of the late Brit classics, even arguably better that the T160, both of which I had at the same time.
Go for it