Your type of system is a typical pumped heating gravity hot water system.
The only difference is there are 2 circuits on the heating side. The open vent cold feed will connect into the cylinder flow and return(gravity side).
The best thing you could do is convert the system to a fully pumped setup. Cylinder thermostat to control hot water temp and set it up as a s plan plus. As you the system you have now cannot have a new boiler simply added to it.
Seperate electrical feeds to pumps etc is just a bodge and could potentially be a hazard as the heating system should be fed by one fuse spur.
As its also a old type of system chances are it could be a 1 pipe system and trvs won't work properly anyway.
Reverse circulation will be caused by poor system design we're the circuit downstairs has been added on poorly.
So my advice if your renovating would be start over and do it properly otherwise you will give yourself a head ache.
If it was only that easy, there are two wires and earth between flat where boiler, pumps, valves and heat link is, and the house where I want to control it all from, those two wires now have the 12 volt supply to the thermostat and data running down them.
Getting a tank thermostat fitted is the ideal, however looked for wireless versions of a tank thermostat and they seem to have gone, I remember fitting one in my dad's old house, they were cheap enough, but can't find them now.
In real terms come winter there is no so much of a problem, worried about under temperature rather than over temperature to avoid legionnaires, and not so sure about hot water anyway, OK having a bath, but to wash hands you have to run off so much water before hot arrives, it is a bit daft.
What I have considered is a combination of immersion heater which has a thermostat, and the central heating, so run central heating domestic hot water say 7 am Mon, Wed, Fri, Sun 1/2 hour each day, then run electric at 7:30 am Mon for 3 hours to ensure hot enough. Getting a timer for immersion is on my "to do" list.
However at some point likely ceiling in flat will need a hole making in it, the fuse box is between original ceiling and new flat ceiling and clearly needs moving, once this is done, I may find more about how the boiler is plumbed, and also I will be able to isolate a single circuit, at the moment I can reach main fuse board isolator, but would not want to draw a fuse, as may not be able to get it back in again.