Yet another post on starting troubles

Had to get the AA out last week as been having a few problems starting compounded by a duff battery. Called out the AA cos whilst trying to turn her over the battery had died on me and although i had jump leads on me I was in a public car park and didn't want to ask some passer by to give me a jump start.
The AA guy came out and basically said I had a few minor things that together were causing a bigger problem. He said the car is overdue for a service, needs dizzy, plugs, leads and rotor arm. He cleaned up the carbon inside the dizzy but noticed one of me leads is very loose on the plug so maybe not providing much of a seal. Also, seems there's some pipework missing running from the airbox to the exhaust, he said this would be causing some of the trouble. The other thing is my timing is out and she's running rich so if you're not careful she floods before she even starts! Ran a battery check and said battery was OK but I find that hard to believe as if the car isn't run everyday the battery will be flat on it.
I'm managing to start OK so far (touch wood) by taking the battery off every night and charging it up, then when I turn the key not touching the throttle until it tries to fire up and then blipping it a bit to get her fired up. Can take a good few cranks of the engine, but knowing the battery seems duff I only turn the key once and keep it going til she starts to fire.
My questions are, what is the part name for the pipework that's missing, any idea on cost of it and is it important to starting the car? Also, am I best getting proper VAG parts or are blueprints OK from the likes of German & Swedish? Although the battery test came back OK, I am convinced it's duff but is it likely to be alternator? There is no battery warning light other than the usual at start up and I can run the car for 30 - 40 minutes drive home, with lights on, and the charge doesn't seem to drop on the voltmeter. Given it seems to go flat when left too long surely it's not holding it's charge as opposed to not getting enough charge?
Sure you're all sick of starting trouble q's at the mo, but as I'm a newbie I'd be grateful for some advice
