"Ok I got the base coat done, & have the top coat done now. I think the paints that came with the kit are not really ideal for airbrushing, as I can't get a consistent flow out of the gun.
Most of the time it will begin spraying & then stop, until I release the trigger & then go again. Normally from what I read that'd be paint being too thick & clumping in the brush, correct? However, thinning the paint with water any more will result in the paint being far too wet & rolling off the model. I can't seem to get a nice balance or consistency"
Your paint is too thick.
Personally, I mix my paint in the airbrush, as with models you often use so little paint its a waste to mix it in a container and pouring it in. I put a couple of drops of paint, a couple of drops of thinner with an eyedropper and then mix with an old brush. The paint should be thin enough to run down the side of the airbrush pot leaving almost no paint sticking to it. (usually Paint:Thinner 30:70)
You also need to prime your model. I use Halfords type primer (just a mist of it), or somtimes just a very light coat of light grey acrylic. This will make your paint adhere much better.
"What brand of paint would be recommended for airfix, standard type aircraft modelling? Also, staying with acrylics, should I continue to thin with water or should I use actual thinners...if so, brand/type recommendations would be really appreciated! "
Throw that rubbish paint you have in the bin!!

I didnt realise you were actually going to use it! Any time ive seen it, it reminds me of when I was little and tried to paint my model with poster paint, it just rolls off.
also if u thin with water it is harder for the paint to adhere to plastic, fine using water if you were painting paper.
Acrylic paint is bes thinned with an alcohol based thinner, the manufacturer will provide one.
Personally I use mainly Tamiya paint, and thin with tamiya thinner. Or vallejo with their thinner. This is somthing thats a personal preference, and id advise try one or two different brands and see what you prefer. You can order both from Netmerchants in Larne.