Hi Ash,
If you are new to BMW aircooled motorcycles, they can make some unusual noises compared to other makes of bikes.
Most of the noise comes from the valve area, the 'ticking' noise, kind of sounds like a sewing machine.
There could be more freeplay in the rocker arm end play than is necessary, may want to check out the clearance next time you are in there.
The 'dead' spot could be a rubber diaphragm in the carburetors, if they are original, good chance they brittle or hard, and have a tear or hole in them.
Carbs would be a good place to go next, I'm sure the rubber parts are in need of replacement, as well as the condition of the foam floats that are used, they have the habit of absorbing fuel, especially since fuel these days contain ethanol, that seems to be hard on the foam.
We have a few members here that reside in the UK, may be able to give you local sources for parts and the like.