OK, let's have a stab at answering your questions :!: :roll:
1. Blueberry & raspberry varieties - Malling Jewel is certainly well-known. Don't grow fruit crops so don't recognise the blueberry variety, but if it was in Homebase I'd have thought it will also be well-known (supermarkets don't tend to go for specialist).
You'll probably not get much fruit off them this year, I agree.
I have heard that blueberries grow ok in pots - I'm not so sure about raspberries as they are a suckering plant.
Note that blueberries I think need ericaceous compost (this is for acid-loving plants), not ordinary compost.
Pots - I see you have 9 x 7.5L pots. Are you intending to grow the soft fruit as well as the veg in these? I can't picture how big a 7.5L pot is, but for soft fruit I would suggest you will need a pot no less than 18" diameter across the top, probably preferably 24" eventually. How does this compare to your pots?
2. Other crops. You're going to struggle to get much of a crop of sweet potatoes, swede and parsnips from 7.5L pots I would think.
The other crops listed should do ok in pots, I reckon though.
3. Compost. JI No.3 is mostly soil-based so it retains nutrients and water better; generally it is used for permanent plants which will stay in the pot for some years. I'd suggest this for the raspberry if you decide to go for it. It's probably not necessary for the annual crops.
The other composts I'm not particularly familiar with so can't advise one over the other. All general-purpose composts will be exhausted of nutrients after about 6 weeks, so you'll need to add fertiliser as appropriate. Initially a general-purpose fertiliser, then a tomato feed to stimulate flowers / veg / fruits later on.
I always get confused between the different fertilisers you've mentioned, perhaps have a look at the Information pages of this site - there's something there about fertilisers. I wouldn't have thought that you'd need all of them - isn't bonemeal already included in fish etc?
10kg sounds an awful lot for 9 small-ish pots but if you have room to store the tubs then you might as well buy in bulk.
4. Sundries.
Watering can! (Or hose if you have an outside tap).
Canes for supporting the different plants
String to tie plants to canes
Think I'll stop now and let others with more experience of container growing and soft fruit contribute!