K. K. Wagh Institute of Engineering Education and Research

You can compare colleges on the basis of their ratings, fees, infrastructure and many more comparative things in the given link below:
LINK-https://www.shiksha.com/resources/college-comparison
All the best.

Yes, For lateral entry the minimum criteria in Diploma is 60% and you have cleared that. Now do apply for this college and you will get admission on the merit basis and seats availability.

Hello, it is not necessary to appear for it for getting admission in an engineering program. There are some institutions which gave admission to the students either they gave JEE Mains or not, like -
Netaji Subhash Institution of Technology, Delhi
Maharashtra Institution of Technology, Pune
Lovely Professional University, Punjab.
Anna University. etc.

Yes, you can get a college in Rajasthan State government colleges and also in private colleges by donation.

Hi,
Kindly predict your college in this college predictor. JEE Main rank predictor is an online tool which predicts the candidates rank range and probable colleges based on the difficulty level of the examination, average marks scored in JEE Main and seats available in IITs, NITs, GFTIs, and other SFTIs. The rank predicted might not be accurate but it certainly does give an idea to the aspirant. Know your college admission chances based on your JEE Main Rank, Home State, Caste, Gender, etc. Here https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor

Hi,
Kindly visit this link:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor
Good luck.
Hope it helps.