DTU - Delhi Technological University

VIPS is affiliated to IP and DTU is a university. Both are state universities. So there is not much difference. I will prefer DTU. But you can take into consideration factors like specializations, fees, nearness. Etc.

DTU name is big but among BBA courses IP is considered also as a top notch. But, DU BBA is best so don't go for A & B go for C I. e. DU.

Not core CSE branch, but you can get software engineering in spot round.

Mechanical engineering from a reputed college is much better than any non reputed college's CSE, until and unless you are a code freak who is very confident that you will take your skills to that level where college doesn't matter. Then only you have to go for a Computer engineering from dy Patil College of engineering.