Colleges in Uttar Pradesh

Yes, you will have a subject name business mathematics in 4th semester of B.Com honors but it requires some basic maths that you have studied in your class 11th &12th. It's basically an application of mathematics to formulate some business problems to make effective decision in business . So, don't worry the subject is not that tough if you study well & don't give up on B.Com honors course just because of this subject. All the best & make your choice wisely.

Yes, you can still apply for BHM course at Amity Gurugram by simply filling there application form which cost only INR 1100/-. You can also go to university's site (given link below)
link: https://www.amity.edu/admission-procedure-domestic.aspx

Hello Sushil,
You have a good rank and so there are high chances for you to get a seat at a government college. To predict the colleges, you may use the tool from the link below :
https://www.shiksha.com/b-tech/resources/upsee-college-predictor

Yes, you can get lateral entry in IIIT Lucknow for electronics and communication engineering.