M.Sc

Yes, you can. It is totally based on your skills and what you would like to pursue further.

Yes, you have to appear for PUCET.

Hello Shambhavi, as per report of HRD ministry almost 40% of MBA fresher are with jobs. On the other hand, with government's aim of doubling the income of farmers, I see great future for biotechnology professionals. I would therefore like to advise you to choose M.Sc rather than MBA.

Yes, there are certain private colleges which offer M.Sc without PUOCET. And also, you should check DAV College, call them and ask what are their criteria for admission, because if seats are left, they will get you admitted.

As the exam is conducted for all subjects on the same day and same time. So, you can appear for NET exam with one subject at a time. It depends upon you with which subject you want to apply for NET exam. You can select the subject on the basis of M.Sc. Or M.Ed. But make sure you should have minimum 55% aggregate marks in Masters and if you want to appear for JRF then age must not more than 30 years.
You can get the detailed information related to exam from - https://www.eduncle.com/cbse-ugc-net-exam

Yes, you can pursue M.Sc in psychology after your B.Tech or B.E degree. However, it is important for you to check the eligibility of all the universities and colleges you wish to apply. There may be entrance exams at some of them.
All the best!

The eligibility is 50 percent marks in B.Sc(Pass or Hons.) exam. of PU or other exam recognized by PU as equivalent thereto with Botany as one of the elective subjects.

Which college are you actually talking about?