I regards to the oil pressure I happen to know someone with a black S2 R33. His oil pressure is quite low and at idle can stall. The car has something like 90XXX km's or so on it and seems to be in farely good nic. How long since your last oil change? Oil gradually becomes thinner as time goes on as you most probably know, which can result in a gradual decrease in pressure. Get some new oil in there
I plan on gapping my plugs to .8mm sometime today, not running extremely high boost, but my idle is a little rough.
The oil change will probably not fix your problems, but it can play a factor in an old engine I think, and will help to rule the whole pressure thing out if your leaning that way. If you have recently changed the oil or it is within 5000km's, then don't bother. I would definately put some money on the fuel filter though. I used to get missing and it seems to emphasise the effect with an old filter (going to change again soon, being a bit tight tho because I just bought a new socket set). From what you have said, the fuel pump. etc. is new, so maybe there is restriction possibly caused by the filter - although not neccessarily, because the problem is cold start related, which can lead to questions relating to the age of the engine and the wear. etc. Do some good researching on the rb's and find out what might be problematic in older engines which is all I can say.
Could be time for new coilpacks. Investigate the issue further, not really too sure as to what it might be, maybe try PM'ing some of the more experienced members or search for symptoms on the site. Look at the more specific details which may help you cut the variables down on what could be causing the problem, specific sounds.etc.
Hope you can find the problem and fix it mate.
If you have any clues on bucket seats - check my thread ha ha.
Sam.