i have a 98 corolla xe. To answer the OP's questions:
engine cooling system: it has a radiator and fan. engine doesnt heat up ever. sorry thats all I know
fuel injection system: it is carburetor not EFI
handling: very good, confidence inspiring (especially with good tires), predictable on the limit, tends to understeer beyond the limit obviously but it is easily controllable (and easily powerslidable)!
Comfortability: very comfy, I got my car?s suspension changed last year coz it was finished. Car is super smooth, especially with good tires (FYI my car has crappy General tires)
ac system...does this car gets heated up in summer: no problems with AC, just get gas filled every few years and youre good to go.
acceleration: it feels fast. I did 170 in DHA phase 8 a few months back. Its slower than new cars of course. Raced with my friends 2015 city manual on mai kolachee road and lost pretty badly. interestingly we were neck and neck till 80 (i.e. still in 2[SUP]nd[/SUP] gear).
reliability: super reliable. It doesnt have any electronics so theres not much to go wrong. Mechanically it is a very sound car.
and other specifications if u can get: lol u dont get much in corolla xe, it was the base model. XE limited is a different case, it has a lot specs as described above. I am surprised it came with sunroof etc.