BAMS

Yes, The candidate must have passed intermediate (10+2) or its equivalent examination recognised by the concerned State Government and Education Board with the subjects of Physics Chemistry Biology and English individually and must have obtained minimum of fifty percent marks taken together in Physics Chemistry and Biology at the aforesaid qualifying examination.

The minimum requirements for admission to the B.A. MS course are:
Students must pass 10 + 2 or equivalent by an institution recognised as a required subject in Physics Chemistry and Biology. A minimum of 50-60% is required for 10+2. A valid score in the entrance exam like NEET or the equivalent. The minimum age for B.A. MS is 17 years.

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For admission in government colleges for BAMS or BHMS, you need a score of around 300.

It's depends upon college.
Average course fee ranges between INR 20,000 to INR 2,00,000.

No, you have to start from 1st year.

As of now, NEET is not required for Admissions to BPT courses. NEET is only for MBBS, BDS, and Alternative medicine courses ( BAMS, BSMS, BHMS, BNYS, and BUMS).

Qualifying criteria and last two years cut offs are given category wise.
UR 50th percentile 720-138 720-147
OBC 40th percentile 137-108 146-113
SC 40th percentile 137-108 720-113
ST 40th percentile 137-108 720-113
UR/EWS & PH 45th percentile 137-128 720-127

Yes, you'll surely get admission in this College.

Some of the potential colleges are:
Guru Gobind Singh Indraprastha University
SGT University
Ayurvedic and Unani Tibbia College
Gaur Brahman Ayurvedic College
MSM Institute of Ayurveda
Baba Mastnath University
Chaudhary Brahm Prakash Charak Ayurved Sansthan
Shree Gobind Singh Tricentenary College
Gaur Brahman Ayurvedic College and Hospital.