Which should I pursue: electrical at JU or computer science at IIEST Shibpur?

The answer to this depends on what your final goal is.

If you are interested in CSE and want to take up a job offering lucrative packages, CSE at IIEST is what you should opt for if you are not getting shortlisted for CSE at JU.

You will get better placements in CSE at IIEST than electrical engineering at JU.

But, if you are interested to go for further studies, JU seems to be a better choice because you have good records. There are chances of IIEST climbing up the ladder to be a much greater institution with the changes in it, however, it will definitely be a slow and steady movement and also, the outcome cannot be predicted. In addition to this, you must keep in mind that it is an integrated course which is of five years.

At the same time, even though JU does not have an INI status, it has a good brand value and is quite popular in foreign countries. This might help you in the long run if you are planning for higher studies abroad or getting settled down abroad.