Colleges in Karnataka

No, Wisdom School of Management, Bangalore does not offer DME course, for details around courses offered, check out the link below:
https://www.shiksha.com/college/wisdom-school-of-management-bangalore-indiranagar-37032/courses?ct[]=278&lo[]=111

Should have completed 12th standard CBSE or equivalent qualification.

XIME, Bangalore is an awesome college in Tier-II colleges.
The college has good industrial connect as it's situated in Electronic city being one of the reasons.
The college is in process of tie-up with GE for some of the elective courses which would be completely handled by GE from faculties to projects to exams.
The placements are going good for the year and few companies are lined up.
If you have any specific query, you can ask.

Yes,Reva University accepts any equivalent 10+2 exam for degree courses.

You don't need to write JEE or DCET.
You are eligible to apply for a lateral entry. But not all colleges have such window. Look for a college that have a window.

Yes, you can get admission by applying for COMEDK exams. These exams too work similar to KCET on ranking basis but are for students from outside Karnataka.

Dayanand Sagar is definitely better than MVJ in terms of placements and education. The aeronautical department in DSI is well established and has well experienced faculty. The infrastructure and labs are all well-equipped with the latest necessary apparatus. The placements are also really good with people getting placed in top companies like Textron, bell, Mercedes, etc. So Dayanand Sagar must definitely be the better choice.

In NITs, the admission is based on the merit list or rank of exam NIMCET.
You can write exam after completing BCA / BSc course.
The exam is for 1200 marks and to get admission in NIT Trichy you should score at least 600/1200 and for NITK Surathkal 600/1200.(These marks are for general category).
They vary based on the categories.