Indigo Airlines — complaint airport services flight missed vi64mx

Website:

www.goindigo.in

I have booked my flight from makemytrip.com. My booking id was nf[protected]. Flight details - indigo airlines 6e-379, kolkata to bangalore, dated 02.08.2017.
Makemytrip customer invoice no. : [protected]

I was going to bangalore for my father's medical treatment in sri satya sai general hospital, whitefield for his operation. My flight was at 6:10 am. I have the printout of my boarding pass. I was there in the airport at 5:20 am with my father. The indigo ground staff ask me to weight my luggage. At that time they requested my father to shift in the next flight as their luggage van was already sent. My father asked them what to do now as he had an appointment for medical test on the same day. When i told them that it was not our fault, they requested us several times and asked me to come to the counter after 6:00am to collect the boarding pass for around 9:30am flight. But they hadn't told us that it will be charged. When i reached the counter again they asked me to pay rs. 13, 000/- (Approx) for my new tickets and they also informed us that we have missed our flight as it was 6:00am then. At that time they told that we reached airport late so that we missed the flight. Though my actual entry time was 5:20am, they reported it as 5:30 am, which was not true. When my father told them that he asked for their suggestion before. Their answer was it was not their duty to help the customer.
Now my question was in case as their person say we reached at 5:30 am then
1. Why did they let us weight our luggage?
2. When we asked what to do now as they said i can't board the flight with luggage as already luggage bus went. Why did they said they will transfer us on next flight at 9:30 am?
3. If we had to purchase the next ticket why didn't their staff said it previously?
4. We could have boarded the flight even at that point without luggage. Why it was not suggested to us?

Though we knew this, we thought as the luggage bus went before time they were compensating us.
It's not the thing that we couldn't board our flight but its also about the harassment we had due to it. The complete staff of indigo on airport created the total confusion and we're not responsible for it. After that i have asked indigo customer and makemytrip for the refund. I got the makemytrip charges in a few days. But after several mails, facebook chats indigo didn't respond to us.
Now i want the full refund with compensation for so much harassment in the airport and such a poor customer support.
I am attaching the photos of my luggage after weighing and the screenshot of the mail and chats sent to indigo