Medicine Entrance Exam

You can use Shiksha college predictor-

https://www.shiksha.com/college-predictor

AMU , Jamia Hamdard , Ayurvedic and Unani Tibbia College (New Delhi) are few top colleges for BUMS. It requires a high score. You can check if you can get into any decent college with good name and low fees.

Also you can plan to appear for next NEET with good preparation .

For general category, CAT required cutoff is 137 this year

Yes, you can attend Councelling for BDS as well as for BAMS, but still it depends on your caste and rank list. Decide your course of interest and select.

You can use Shiksha college predictor-

https://www.shiksha.com/college-predictor

Also,   it is not necessary to appear for NEET to get admission to BSc Nursing. Many colleges conduct their own entrance exam for admission to BSc Nursing courses offered by them. You can pursue Nursing right after your class 12 exam with 45% marks in Science (PCBE) from any recognised board.

You can definitely try some low cutt off nursing college.