Engineering

Hello,
Yes, you can take a gap of, say, a year to prepare for the various MBA entrance exams. Though it is also strongly advised to utilize this gap year productively since these exams do not require an entire year to prepare at all. Good luck.

Computer Science Engineering is a course, which is designed to give you the knowledge of Computers and Technology. Computer Programming is a computer language (eg python, Java, C+ etc. ). You can say, computer programming is the syllabus part of computer Science engineering. Hope this helps.
Good Luck.

Yes, they will treat you as a general candidate.

You can check your chances of getting a seat, by following link:-
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor.

EWS category is new one this year. So, it is very hard to calculate the rank range of it. IIIT Allahabad is one of the best college in IIIT. Better to go for colleges like IIITDM Kurnool, IIITDM Kancheepuram, IIIT Bhopal, IIIT Ranchi, IIIT Delhi, IIIT Jabalpur, etc. Even getting CSE in JoSAA at this rank will be tough, more chances in CSAB.

Yes, it is a better choice, if you are not able to get a seat in NITs or some deemed universities. CSE is also a good branch with more opportunities. All the best.

Yes, few north eastern NITs are very good compared to their state colleges like NIT-Silchar in Assam, NIT Sikkim, etc. In NIT, you will get more better infrastructure, platform, faculty, environment compared to the state colleges.

Yes, B.Sc Computer Science is available in Punjab University. There are total 34 seats in this and for getting a seat in it you have to clear PUCET exam.

Yes, you can apply for JEE counselling on JoSAA portal. JEE cutoff is just for advance exam selection. So, you can do choice fill up on JoSAA, and even you can get colleges if it comes under any rank range of a college. So, do choice fill up well.