Computer Engineer

Yes, you can pursue CSE after 12th class but necessary condition is that, you have to qualify 12th with minimum 65% aggregate then you are eligible to enter in any technical institute of India.

You can get into state engineering colleges in your state. After graduation you can go for GRE/GMAT. A good score in GRE will get you a chance to study in top institutes of US for MS. A good score in GMAT will give you a chance to get into top institutes for MBA like ISB, Great Lakes, S. P. Jain. MBA/MS will definitely give you a good chance to get into top global MNCs. Check below link for engineering institutes in Rajasthan. https://www.shiksha.com/b-tech/ranking/top-engineering-colleges-in-rajasthan/44-2-121-0-0.

Go for Veltech-Chennai as it has average placement is around 3.5 lakhs and the maximum is 12 lakhs.

Of course. It doesn't matter whether you have CS in 10th or 12th, what matters is your interest and the efforts you make in pursuing your career as a CSE student. But to get CSE branch, you will have to score really good in engineering entrance exam.
Good luck.

Firstly, I would like to appreciate your decision of choosing software engineering field. You can choose either computer science or information technology engineering for developing software skills and becoming a good software engineer.

Dear Akash!
With this marks, you may got CSE. Use the following link for the same;
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor.

First, you have to do graduation in CS. For graduation, you can pursue B.Tech in IT/CS or BCA. After this, do 2-3 certificate courses and also be good in a programming language as Java, C, CPP, C Sharp, Python, Ruby, etc. All these steps taken by you, help you move towards a good skilled software engineer.