First of all congrats on your new ride, sorry for the late wishes tho.
About your fe one word of advice, do not trust the mid it exagerates, like if you tank up and hitthe freeway or reset it will stay at a higher reading. Use an app like fuelio to get a proper reading.
My verna was a 2011 one and used to put out 8-10 in city and 12-15 on highways, not bad i used to enjoy the mad pull at mid range(over 4500 rpm)
I did have fe issues in the start like 6-7km/l i switched over to fully synth and engine has been smooth even at 85k km.
About hyundai service, they mostly try to reject claims or hide it under the carpet, so be stern yet polite, see for any unusual compressor noises with ac on in idle and any big drops in rpms when the compressor kicks in.
Ive only had about 0.5-1km/l with ac off difference.
About low power on hills keep the car in powerband i.e 2500+ rpms a lil tap will make the car zoom below that it takes time.
I have done lots of ghats etc even 1200kms in a day.
Suspension issues thats their usual retorque and grease. I used to get them to change the springs amd struts. The warranty in charge guy being mt friend made it easier to get replacement approved where necessary.
About the hard clutch, have them bleed the lines properly, if not then check the master cylinder. Btw
i lovemysore roads i was there in june was a bliss to drive there after spending 4 days in Blore
Have fun and enjoy the car.