Yes you can use the type 2 socket, but you'd need to use your own cable. The Model 3 comes with one, although there have been reports that the stock is low so you might not get a cable when you collect the car, but they will post it out to you when the stock arrives at the service centre.
Model 3 should charge at 11kW using this charger, which is useful (that's the max the M3 can do on AC charging). Rapid charging (50kW and above) requires DC (CCS). The fact that the AC charger can deliver 22kW is of no benefit to the Model 3.
I looked at the Rolec ::EV Charge Online:: website and not very impressed at lack of info for a local charge point without having to sign up. Had to look on plugshare for pricing info and it was 30p/kWh and you needed £5 minimum topup whatever that means. Personally I am not interested in companies that require a credit on account on off chance that I may need it some point in future - plenty of alternatives. As my wife said, why pay to charge at work when you can charge cheaper and more conveniently at home (there is irony in that statement) - there will be exceptions.
Interestingly .. i was charging my M3P on a 22KW charger recently and it was charging at a constant 12KW - was at 244 volts so im guessing that's probably the reason, but i though it was interesting as the max is supposed to be 11KW ;-)