UPCAT

Yes, you are able, but I am not so sure that you will get admission. But, yes you should try till last round of counseling fill the lower preference branches too. Wait for the result, you may get admission there.

Hi, with a rank of 3068 in UPTU there will be a lot options of colleges open for you. Look for the faculty members in the colleges of your preference with their qualification to choose the best for you. Follow the predictor link :
https://www.shiksha.com/upsee-college-predictor.

You will not get any government college, but you might get private college under Uttar Pradesh State Entrance Exam (UPSEE). You will CSE or ME in a private college.

Eligible candidates need to appear for the Amity Joint Entrance Examination (Amity JEE). Written Test - Shortlisted candidates will be called for essay writing based on rank obtained in Amity JEE.
Personal Interview: Shortlisted candidates will be called for personal interview based on the score obtained in essay writing.
Final Selection: Candidates are selected based on Amity JEE rank, score obtained in 10+2 & essay writing and performance in personal interview.
Link: https://www.shiksha.com/b-tech/course/b-tech-in-computer-science-and-engineering-amity-university-noida-206768

You can get admission in Amity University for B.Tech in Computer Science and Engineering through JEE mains and also through UPSEE or can apply directly to this college.

Yes, you are eligible.

Yes, you can get Ajay Kumar Garg Institute of Management - Master of Business Administration with this score, but if you might not get through counselling, you can fill form for direct admission in that you will surely get admission in this.

Hello Ayush Sharma,
There are plenty of good colleges in the state of Uttar Pradesh which accept the ranking of UPSEE for giving admissions. I am attaching a link that will give you all the required information about different aspects of these colleges. https://www.shiksha.com/b-tech/ranking/top-engineering-colleges-in-Uttar-Pradesh-accepting-upsee/44-2-126-0-6612
Best wishes to you.

Yes, you can easily get admission in Institute of Engineering and Technology (IET) to pursue Computer Science engineering (CSE) at this score but you can't get HBTI.