Sounds like the water pressure switch is blocked. Drop the pressure in the system and remove it. It's a round thing about 1 and half inches at the left hand side of the pumps. Use a matchstick or an allen key to push the crud out, check the pipe connection as well.
Turn the heating off.
Run a hot water tap.
Does the left hand pipe (C/H flow) heat up?
If it does the diverter valve needs stripping and cleaning (or replacing.)
Nightmare job.
Good luck.......
Fernox f3 tickles my buttons, but they're all more or less the same stuff.
If you add it the header tank it may take a while to get into the system.
This bit works only if you've got 1/2 inch plugs in the tops of a radiator.
Get yourself a cat litter tray. (I kid you not.......)
Turn a rad...
If there was earth bonding to the rad before, there should be earth bonding to the towel rail.
You can get earth straps from most DIY places to connect the earth to a pipe (or the rail). The wire is probably under the floorboards
Try this, sometimes works, can't do any harm. Turn every radiator & hot water curcuit off bar one. Let that one run until it warms up. Move around the system with just one rad on at a time until they all heat up. You'll probably hear a lot of gurgling (hopefully!) as the air is shifted around...
If it backs up the cold feed, the tank ain't big enough. New cylinder; therefore coil OK.
Does it pump over (through the open vent-has it got an open vent?)
What's the water like in the header tank? Brown? Black? Clean-ish?
Turn on a hot tap. Check central heating flow pipe from the boiler. If this pipe is heating up, you need to service the diverter valve.........good luck........
Is your cold water storage tank higher or at the same height as your central heating header tank? If it is, coil in the hot water cylinder has gone and is filling up the central heating header tank.
Your expansion vessel needs pumping up. It's the red cylindrical thing behind the gas valve and pump. Drop the sytem pressure (via the prv) and get yourself a footpump. there's a dustcap (just like your car tyres).
Stick about 0.5 to 1bar in there and you'll be sorted