Hello all, I'm new here and indeed, new to VW cars and I have a problem

I've just snagged myself a mk3 8v GTI on an R plate, 115k miles, very good nick and very good
service history up 'till the end of last year.
Here's the problem: It's been driving fine including the 30 mile trip to pick it up, and a 30 mile
round trip to work. Now, yesterday evening, as it was low on fuel I filled up at Tesco, all
seemed fine. I got about four miles up the road and gunned it across a busy crossroads
and a minute later the car choked and died, and I couldn't get it to re-start without it choking
and dying straight away. I got out the car and looked under the bonnet, checking the alternator and
connections as I've had a couple go on past cars, all seemed fine, and besides the instrumentation
didn't go crazy just prior. I got back in the car after about 5 mins and the car started, bit wobbly
then fine.
Now, I've looked again today (In daylight) and all seems fine EXCEPT the idle speed seems erratic.
Could my problems be associated with each other? I've assumed it was a fuel delivery problem
and intend to change the fuel filter, I'm also going to change the spark plugs (Bosch super 4's)
and HT leads. I've done the air filter so that's fine.
Anyone had similar problems and have a solution or suggestion? Any help appreciated
