KIT College of Engineering, Kolhapur

Rank required for general category students is 14230. So, it has a very high chance. You have to score above 120.

You can the whole cut-off range of previous years from their official website:
HTTPS://www.annauniv.edu/cia/pdf/Cutoff 2017.pdf&rct=j&sa=U&ved=2ahUKEwj

Please check the official website of this college. You will get the perfect information.

No, there is no mechatronics engineering in Rajagiri and Viswajyothi College of Engineering.

Visit official Anna University website. It is based on your TNEA rank and starting fee is INR 30,000.

Yes, after completing your engineering Diploma, you gets direct entry to 2nd year of engineering. Some colleges take admission through lateral entry exams like Joint Entrance Examination of Lateral Entry (JELET), Diploma to Degree Entrance Competitive exam, etc. So, you need to appear and crack these exams. Some colleges conducted their own entrance exam for getting entry. Admission procedure varies from college to college. So, you will have to contact colleges individually.

You can clear the entrances of VIT, BITS Pilani, HBTI, etc.