India

Refer the following:
Anna University
Madurai kamraj University
university of madras

Few of the options I would like to suggest
BITS Pilani
VIT University
Manipal University
KIIT
BIT Mesra
Thapar University
RV College of Engineering, Bangalore.

Your marks in NEET are less. As per the previous year cutoffs you cannot get any government Medical College for BAMS. You can get admission to the private medical college but the fees will be very much. So, you need to have good economic condition. You should have maintained a score above 550 to be on the safer side. You cannot get into any government medical college with this mark. There is very less Probability of getting a seat.

You should apply in upward movement of REAP.

Minimum cut off for MBA students at this institution remains around 90 percentile, every year.

Exam date for TNPCEE in yet to announce, although tentative is November 2022 and application form release date is September 2022 tentative.

B.Tech CSE is not passible for Mechanical Diploma holders. So pursue in Mechanical stream for qualification upgradation.

Yes, you can appear for the TET examination in Tamil Nadu.

The fees for the same will be high for you than other students.

Ph.D. is always better than MBA.