Shri G. S. Institute of Technology and Science Indore Answered Questions

If you reside in Madhya Pradesh and getting GSITS, then you don't need to go to the northern extent of the country. NIT - Srinagar has a good rank but is almost similar to GSITS Indore only. Also, GSITS has a very nice curriculum, placements and academics. Also, it would be safer for you.

SGSITS Indore is not a private and government institute but is state government. Funded, supported but run by administered and maintained by private organisation. These colleges are called autonomous institutions which runs on both private and government interference.

You have good marks in JEE advance and hope that you can make it. Although you seem intelligent and the branch you'll get in GSITS doesn't seem to push your potential, I suggest you to take a drop. Also, try to know yourself, how much load you can resist easily. Either focus on Mains, or Advanced or on both. Here, you have cleared both but it didn't get you a college.
Best of luck.

Assuming you are from General category, getting into CS is tough for you as for out state students, last year's cutoff was 180 and that too for home state. I would suggest you to get a college in Jaipur or Udaipur with home state as most of the seats in sits are filled by home state itself. Else, try for private colleges with better placements.

You need at least 183 marks for getting CSE at least in the second round. In first round, the cutoff goes to 188 marks, though it is going to decrease this year as the cutoff has fallen down with a greater extent then the rest years. Hence, 175 would easily lend you CS for this year. Ranking should be below 23 thousand with home state quota.

You need to give JEE Mains and qualify it. At least for admissions in HOME -STATE and general, you need around 148 marks in Industrial and production. Moreover, you need at least 190 marks for getting a top notch as CSE. Through JOSAA, apply through the online portal the dates for the first round is from 15th June and 25th June.
Best of luck.

Depends on which branch you are getting transferred. If you are doing it from CSE just for the sake of a good college, I'll not suggest it. Frankly, Industrial and Production engineering is something can be easily learnt and done after the graduation. It comes more from experience and exposure rather than Degree. Also, in GSITS, IP does not have a big name, so I'll not suggest it.
Best of luck.