Engineering Entrance Exam

Yes, you are on right track.

Yes, some colleges might take admission this late also. You use this tool below:
https://www.shiksha.com/college-predictor

No, you have many other exams like CAT XAT SNAP CMAT etc., which you can give to get into good college. CAT exam is the most important.

Candidates can take admission through either PESSAT/ MAT (if above 500 composite score)/ CAT (if above 50th percentile)/ CMAT (if above 50th percentile)/ GMAT/ GRE scores. Candidates in any of the above cases should attend GDPI in PES University Ring Road Campus, and only if they clear GDPI along with valid entrance test score, they can proceed with admissions. So, you need minimum 500 composite score in PESSAT.

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

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

Hello,
For graduation it should be compulsory at least your score should be 60% in class 12th.

Hi,
JEE scores are accepted in most colleges in India for Engineering admissions.
You are asking for B.Arch - here JEE not accepted. The students can get admission in B. Arch. by appearing in NATA entrance exam which is conducted by Council of Architecture every year and qualifying examination from a recognized university or board. There are various colleges which are taking admission of students through this entrance exam.