Good morning Kevin
It seems like you have a fairly ideal installation tank wise there, so as long as the filters are clean etc there's nothing to worry about.
The fact that your boiler is ancient (like mine - a Thorn Panda about the same age) shouldn't be an issue either.
Obviously we have no idea about your current flue set up, but one of the most important issues to allow a clean start up every time is the 'purge phase' of the burner.
This is where the burner motor and fan starts revolving for about 8 seconds before the oil is switched on electronically by means of a solenoid.
This 8 second run blows fresh, oxygenated air though your boiler, ready for ignition.
If the flue is impeded in any way, either by excess soot or baffle distortion then this purge situation is compromised somewhat....however, a flue gas analysis should show up any discrepancies here. With the oil pump pressure set at the manufacturers recommendation and a decent nozzle fitted, the CO2 level should be around the 11% mark.
If the oil pump can't achieve this pressure, then as oilhead suggests, a Danfoss BFP series pump can probably be fitted - but I have no personal experience of this.
Its also a good idea to check to see if the correct nozzle is fitted, if you have the data...the spray angle is particularly important.
Bear in mind that you can get complete burners for around £350 if you think that is the route for you. Personally, my own system stays how it is until water starts coming out of the bottom.....
As for the warm patch on the wall, I wouldn't worry too much about that - flue temperatures on these old boilers was much higher than modern ones.
If your baffles have corroded or been burnt away, they are fairly easy to fabricate yourself from mild steel....again, personal experience!
John