M.A Eligibility

Yes, you can join any of these programs after B.Tech.

Yes, you can study M.A. Psychology after BBA. As the demand for psychological counselling is increasing day by day, so M.A. Psychology's scope and job opportunities would be a good option.

You have two options. First one being, you're doing a course (MSW/MA/M.Sc/Maharashtra) in TISS and in your first year itself you appear for TISSNET, clear the cut-off for HRM&LR, get selected post your interview and join. In this case, you'll be discontinuing your earlier course mid-way.
Second, why do you want to wait 2 years to complete another course and then do M.A. in HRM & LR?

Once internships are complete and students have graduated, they can move on to become a licensed architect. As licensed architects gain more and more experience, they can move up to senior architect/designer, and then on to project manager, department head, and so on.

Yes. Don't worry. Mumbai University is the best who never ask for Maths for M.A. or you can apply for Gokhle entrance for M.A. Maths necessary criteria there but you should be able to do Maths basics questions.

Yes, You are eligible for MA in Hindi at Goa University.
Eligibility Criteria: Students must have passed a bachelor's degree with a minimum of 50 percent.
The students must have passed a bachelor's degree from a recognized college or university.
Admission Process
Admission is based on the merit list prepared on the basis of marks obtained in the Goa University Admissions Ranking Test (Goa University-ART) Test in the relevant subject.

Most of the universities just require graduation in any discipline for M.A. In politics Science.

Yes ofcourse you are eligible. Go for it.

If you have opted Political Science or geo as your generic elective then you can go for MA in these subjects.