Diploma

Yes, you can get admission in BE (lateral entry) from Jabalpur Engineering College.
The minimum eligibility criteria to apply is that candidate must have passed Diploma in engineering from a recognized board.

Yes, you can study computer science Diploma in government Polytechnic College with 85.40% in class 10th board exam. The minimum eligibility criteria to apply is that a candidate must have passed class 10th examination with a minimum of 35% with mathematics and science.

Given link has the name and address of distance electrical Diploma engineering colleges in West Bengal:
https://www.shiksha.com/engineering/colleges/diploma-electrical-engineering-colleges-west-Bengal

Yes, you can apply for any Diploma after 10th. But for which Diploma you are asking for?

Here is the list of good colleges for Diploma in civil engineering:
https://www.shiksha.com/engineering/colleges/diploma-civil-engineering-colleges-west-bengal

Yes, it's true that Inspire company provides placement after the completion of Diploma.

But, you have to prepare yourself first for the entrance exam or get your name in the merit list as per your percentage.