Indigo Airlines — Non cooperative behaviour due to which i missed flight

Address:	Kolkata, West Bengal, 700157
Website:	www.goindigo.in

I was suppose to travel to jaipur from kolkata by indigo flight no 6e 238. the departure of flight was 05:20 a.m. as mentioned on ticket and website.
pls note that i had already done my web check in one day before my departure.
i reached the counter at 04:30a.m. but the officials denied saying that the counter is closed. i requested them saying that almost an hour is left, "how can you close the counter".. the official time of closure of counter is 45 minutes before the departure. but in no circumstances they allowed me to move in.
all these discussions killed another 20 minutes. at around 5:00 a.m., they saying that the flight has already taken off and they cant help.

now first of all i would like to question indigo that how can a flight which is suppose to take off at 5:20 a.m. be departed at 5:00 a.m.
next thing, inspite of re accomodating me in the next flight with the same fare and ticket they charged exorbitant extra amount of money (3876/-) from me. also they wrote unjust comments of late arrival at counter on my boarding pass.
kindly note there were 3 more passengers along with me with the same problem.

closing the counter one hour before the departure of flight, not re accomodating the passengers within the same fare and ticket, misbehaviour with the passengers is what i faced today.

this is highly unacceptable and unethical behaviour of indigo. i am writing this complaint letter to disclose such unethical standards indigo is following.
looking forward for justice.