BBA

It usually starts in May Ashish and for regular follow ups, you can just visit their site by that time.

In Chandigarh university BBA- tourism and event management is a single course for which student can undertake, any one of them without the other is not possible.
http://www.cuchd.in/management/bba-tourism-and-event-management.php

Yes, you can pursue CA or CS with BBA.
It depends on your capability.
There is no problem in CA or CS.

Yes, you are eligible get admission. The admission criteria is 10+2 or Diploma holders can take admission.

These are some top colleges and institution for visual arts and graphic designing:
National Institute of Design
www.nid.edu
Industrial Design Centre (IDC)
www.idc.iitb.ac.in
Indian Institute of Digital Art & Animation (IIDAA)
www.iidaaindia.com
Birla Institute of Technology
Thewww.bitmesra.ac. Department of Design, Guwahati
www.iitg.ac.in/design
Indian Institute of Technology, Kanpur
www.iitk.ac.in
MAEER's MIT Institute of Design
www.mitid.edu.in
Indian School of Design & Innovation, Mumbai
www.isdi.in
Symbiosis Centre of Design, Pune
www.sid.edu.in.

Hi Krishna,
Admission is based on the marks obtained in graduation and preference to be given to candidates with work experience.
Interested candidates can apply online/ offline with required information.
https://www.shiksha.com/mba/course/mba-in-aviation-management-upes-centre-for-continuing-education-okhla-delhi-260596

Top colleges in Bangalore offering BBA programme are:
Christ University
Mount Carmel College
Alliance School of Business
You can refer the link for more colleges in Bangalore:
https://www.shiksha.com/bba/colleges/bba-bms-bbm-bbs-colleges-in-india
You can refer the link for top BBA colleges:
https://www.shiksha.com/top-10-bba-colleges-in-india-article-7797-1
Hope it helps. Please feel free to revert. Click on the thumbs up if you found this useful.
Wish You Luck!

Yes, you can get admission first your search for your choice if colleges, make a list, search about them in internet, if possible visit them once and meet their admission department and then take admission.