I wouldn't bother with Rainsport 3, they're very much over hyped, much like the old Toyo T1R's 15 years ago. They have very good grip in wet conditions compared to mid range tyres, but not like the latest premium tyres from Michelin and the like. They also wear very quickly, i killed a pair of fronts on my old Clio 182 within 5k miles. Same car managed 5k miles with yoko AD08R's (soft road/track tyre) and still had 4+mm of thread when i sold them. They also have pretty poor dry grip and very soft sidewalls compared to premium tyres. You'd probably end up getting through 2 sets in the time a single set of PS4 worn out, so false economy really.
I bought PS4's for my wife's C-Max recently, and was very surprised with how much grip these gave in wet and greasy conditions, granted its a C-Max, but it is the 1.6 ecoboost version with 180bhp, and I was struggling to get the front wheels to spin up without being stupid.
Currently got F1's on my E85, fronts being AS3 rears AS2. These were on the car when i bought it. I've had AS3 on a previous car and quite like them, But that was a front wheel drived diesel. I feel the rear AS2, seem to let go far too often this time of year for my liking. Not sure how much different the AS3's would be thought.
I have been considered getting a pair of PS4 for the rear, even though the AS2 have about 5mm of thread left still. Based on there performance on the C-Max and the many very positive reviews and road test on them. For the small difference in price over there lifespan, I'd go for the PS4 over the Eagle F1
Liverpool
