Im only guessing (obviously) but the group exercises could be anything from the BA "build something aesthetically pleasing and functional from this meccano set" to the standard sort of "your plane has crashed prioritise these 15 items to take with you" but I really have no idea!
I agree with you on the personality stuff, most say they use it to build a profile of you to assist with interviews and for the psychologist interview (if they do them). I think as long as you are honest and dont try and second guess answers theres nothing you can really do about it (unless that is you come out as a ragin psycho
)
For the stats I have also got a PPL (C152/PA28), completed off the back of a flying schol. many many years ago! I'm still low hours though (~60ish) Ive basically been doing enough hours to keep myself current! Looking at some other posts Im surprised I got through if they were looking for <30hrs!
Cheers,
N.