Hey dear, 

Of course you are eligible for your NEET exam as for being eligible for giving the NEET exam one must be born on or before January 1 2002 I.e you must be above 18 years

Hi Avinov,

This is the age criteria for NEET 2018: 

Minimum age requirement: 17 years as on December 31, 2018. Candidates must be born on or before January 1, 2002.
Maximum age limit: 
Unreserved Category: 25 years till date of exam; must be born on or after May 7, 1993
Reserved Category: 30 years till date of exam; must be born on or after May 7, 1988.

Since you are April 1995 born, you are eligible. 

Also, since you mentioned you cleared your class 12 as a regular candidate you are eligible.

Please go through NEET Eligibility for full details.