Birla Institute of Technology, BIT Jaipur

Yes, you are eligible to apply in BIT, Jaipur for ECE.

BITS, Pilani does not offer MCA.

Pretty good. And in the end, it all depends on how dedicated you are.
We have had the highest package of over 24 LPA as well for CSE. The average package is decent as well.
Most of the placements happen at Mesra, hence you get a chance to show your skills to the bigshot companies like Amazon, Flipkart, and Directi. The opportunity is provided, rest is on you.

BITS Jaipur and Galgotia University Noida both are good colleges but BITS Jaipur is slightly better than Galgotia in terms of placements and salary package offered. You can also compare colleges and read reviews through below link.
https://www.shiksha.com/compare-colleges
https://www.shiksha.com/mba/resources/college-reviews

Yes, you will get CSE branch in BIT, Jaipur. The average package for CSE is around Rs 7-8 lakhs per annum. Companies like Samsung, Samsung R&D, Cybage, EXL services, Musigma, Amdocs etc recruit CSE students.

BIT, Jaipur is an extension center of BIT Mesra which is the main campus. As we know it's a private institution on another hand Gurukul Kangri is government institute. Both are really good but placement for CSE in BIT is really good.

Your rank will secure you a good branch in both colleges. What BIT Jaipur lacks for in terms of infrastructure, it makes up for with it's faculty and placement record. LNMIIT has a vast infrastructure and facilities. Again, this is a debatable topic and it wouldn't do any harm if you discuss the quality of education there with some current undergrad. In the end, it all comes down to what and how you are taught.

The current average will be released by July and will be available on the college website. It is deemed to be around Rs 4.5 - Rs 5 lakhs per annum for the year 2016-17.

The average package secured in 2016 was of about INR 4.5 LPA. While the highest package went for about INR 10 LPA, at SAP Labs. Please note that this applies to only the Jaipur Campus of BIT Mesra.

BIT, Jaipur is a campus of Birla Institute of Technology, Noida but MIT Pune is its main campus. Also, BIT Jaipur is new. So I will suggest you to join MIT, Pune.