Exam

For doing Ph.D. in Chemistry you should be eligible with your Masters degree with 55%, no need to clear NET exam. So try once otherwise give net exam.

It's a 4 year course and it's fee is around Rs 297100 per year and total fee is around 13 lakh.

It's 2 years course and it's fee around Rs 46500 per year. Graduates of the University of Madras are eligible for B.Ed. , Degree Course. Admission Shall be Made on merit on the basis of marks obtained in the qualifying examination or in the entrance examination or any other selection process as per the policy of the state government/Union territory. Maybe no need of entrance exam most probably admission through merit list only.

Yes you can, it is quite possible.

As per the Bar Council of India rule, There is no age limit for admission, So you can pursue the 3 years LL.B. Course.