Madhav Institute of Technology and Science

Yes, you can get the admission if you have high marks in 10+2 and chances are there that you have to wait till 3rd counselling so don't worry. All the best!

From the year 2013, the State Government of Madhya Pradesh has decided to admit students to Engineering Colleges of Madhya Pradesh through Joint Entrance Exam (JEE Mains) conducted at All India level by CBSE. The date of availability and cost of application form, last date of submission of form, examination form, examination fee, date of examination and other details are announced by the DTE/CBSE in leading newspapers of the State.
For more information student may visit: www.dtempcounselling.org,http://dte.mponline.gov.in.
I am providing these information on the basis of information available on MITS official website.

First you must have successfully completed 3 year Diploma in engineering. Different institutes consider different entrance exams. Most of the regional, government and private colleges take admission on the basis of State entrance exams.
Entrance exams are:-
Calicut University lateral entry entrance exams.
Delhi Technical University lateral entry entrance exam.
KIIT University lateral exams.
LPU NEST.
UKSEE BTech lateral entry entrance exam.

You have to score at least 180 marks in JEE Mains.

You should definitely go with MITS, because it is highly reputed college of Central India and have better placement record.