Diploma

Yes, you can take admission in diploma engineering. But, you have to clear entrance examination and after completion of your 3 year diploma, you can take lateral entry in B.Tech in 2nd year.
All the best

Section Aof LEET (Subject-BasicSciences):
A1 Mathematicsfor LEET:
Arithmetic. Geometric. Harmonic Progressions. Binomial expansion. Successive differentiation. Maxima and Minimal
Partial Differentiation
Definite and indefinite Integration. First order and first-degree ordinary differential equations. Ma

Please go through the website it will help you https://www.google.co.in/amp/s/www.shiksha.com/hospitality-travel/hotel-hospitality-management/exams/amp/nchmct-jee.

Some of the top colleges which provide admission to the course are listed below for the reference of candidates:
ILS Law College
Mahatma Jyoti Rao Phoole University
Dr. AMBEDKAR LAW UNIVERSITY
Tamilnadu Institute of Labor Studies,
TILSThe Indian Law Institute,
ILI, New Delhi

Technical courses are not allowed by AICTE to pursue through correspondence or distance. Think this yourself, how much of a good engineer will be if he studied from home and has no practical knowledge? So, to answer your question, no.

Age limit is quite relaxed for Diploma courses. I think you are certainly eligible for lateral entry into Diploma on the basis of marks scored in class 12th.

Hello Abdul,
This institute was formed about 10 years ago. It offers many diploma courses with very minimal fees. It would be great if you can visit this Institute and interact with them about your issues. Let me congratulate you for deciding to do diploma after so many years of doing 10th.
Best wishe

Yes, you can join a college through lateral entry.

NMIT is the best college for aeronautics. Even I'm pursuing aeronautical engineering from this college. You must take an entrance exam and secure a rank under 5K to get admission.