B.Tech Eligibility

Your marks in Diploma & B.Tech is good and above minimum requirement i.e. 60 %. Make sure you are eligible in other criteria also like age, martial status, etc.

Visit this link URL
https://www.shiksha.com/college-predictor

In government colleges like IIT, NIT, IIIT & GFTI, SC/ST students get a waiver in the fee. I am sure of it as in my college, senior gets to benefit in IIIT. For more information, you can check on the official website.

Graduation (min 3 years) in any discipline with min 60% marks and have passed Maths and Physics as subject at 10+2 level B.E/ B.Tech from a recognised University with min 60% marks. Age Limit : 20 to 24 years
These are the eligibility criteria.

Your percentage is good in Diploma & B.Tech, and I think you will be eligible for admission in any college for higher studies.

It may create problem in those government jobs recruitment where you have to submit Diploma documents for verification. Then you may get this-qualified as it is not recognised by government.

Eligibility Criteria (Qualifying Exam)
Pass with 60% aggregate marks in Diploma (Engineering.) (any stream) 3 years after 10th or 2 yrs. after 10+2(Non-Medical) or B.Sc.(Non-Medical) or B.Sc. (Hons.) Chemistry or equivalent, subject to qualifying LPUNEST.
(5% relaxation to North East states and Sikkim candidates/ Defence Personnel and their Dependents/ Wards of Kashmiri Migrants)
(10% relaxation to outstanding Sports Persons (i.e. A/A+ category as per Sports Scholarship), Subject to verification from Selection committee* of the University)

HBTU Kanpur ( earlier HBTI) is now a seperate government funded university.Thus for admission, a person needs to clear JEE Mains with a good All India General Rank.The current criteria for the JEE Mains has no weightage regarding 12th marks.You will find both type of students here i. e. state toppers as well as hardly passed guys.

Yes you can do Masters in Archaeology.