Colleges in Jammu and Kashmir

No, you won't get seat in your desired college with 125 score. Because it doesn't meet the cut-off score to get admission in that college and more competition for seats.

NIT is the great choice, thus for Mechanical from NIT-Bhopal will be great Choice if you are a gadget loving guy and love to play with tools whereas if you want to work with software company in the country you should go for CSE in NIT as CSE enables you to join in the field of technology in Computer and can land up in the jobs like TCS, Cognizant.

You need to visit the official website of the university and click the link of University Entrance Test-2019. Go ahead and fill in details and upload required documents along with your photograph, signature and thumb impression.
Once the details have been confirmed, you'll be directed to chose the mode of payment. Make a payment of Rs 1,500 through credit/debit card/net banking or e-challan.

For more details, you can visit the linked mentioned below:
https://www.shiksha.com/teaching-education/course/amp/b-ed-directorate-of-distance-education-university-of-jammu-74660

Your rank should be under 35000 for safer side to get the admission in this college.
Good luck.