Hi Onkar... You can join for BTech in Compute Science and engineering in leading institutes like IITs, NITs, RECs, Manipal university, Lovely Professional University, VIT university etc. You can visit the websites for more information regarding the eligibility, admission procedure, fee and scholarships schemes etc.
Yes of course, you can get a job.
But please note, you would have to initially compromise on position and salary. Since there would be a gap of a year or so, companies may take it as negative or a setback.
Be bold about your decisions and do not show regret.
But yes, be ready for a compromise.
Wish you good luck...