David,
These systems are very complex and correct analysis of how the system will perform involves looking at many aspects of the whole building. Generally, this is not an area you can dabble with so if you want to deal with it you'll have to do some thorough research. Start by reading BS12101-6 from front to back.
You will notice, as you read, that you are, in general, expected to lose the pressure when you open a door. The system does not rely on a pressure differential in the open door condition, instead it relies on the passage of air through the large opening. You'll need to get a mini-anemometer as well as the mini-manometer you must have used for the pressure differentials. Also, there are quirky things like how to take the readings, not all this stuff is explained in the BS.
A thirty year old system may conform to BS5588 part 4 1978. Very hard to get copies of the old standards now but I have a copy of this one. Or it may even predate this, in which case it's probably somewhat ad hoc in its design.
The most important question is this, what is the purpose of the installation? The next most important question is this, is it still needed?
What aspect of the existing building would not be safe if it were not there? If you know this, you might start to know how best to move forwards.
A lot of systems were put in to assist fire fighting but at 5 storeys I'm not sure. If it is for fire fighting, the 1978 standard doesn't address the matter of fire fighting shafts but it gives standards that would help.
Stu