Dear Anupama,

Yes,You can register for both All India Quota and Deemed University.

You can follow the website of NEET authority and the official websites of respective Deemed Universities.

The counseling process started in some States.

Please check out the websites of the State authorities.

For more details you can also go through college predictor tool which will provide you enough information by entering details whatever it takes. The link is given below-
http://www.engineering.careers360.com/articles/college-predictor
Hope it helps.

Best of luck.