Lucknow

Now that you have started your BBA, you can go for LLB course after BBA. Earlier, you could have opted for BBA+LLB Integrated course which would have been beneficial.
Top colleges for pursuing law are:
University, Bangalore (http://www.nls.ac.in)
UPES, Dehradun (UPES- Asia's first core sector university (http://www.upes.ac.in) - This colleges has further specialized courses in law, you can check their website.
National Law University, Jodhpur, (http://www.nlujodhpur.ac.in)
Campus Law Centre, Delhi (Campus Law Centre (Campus Law Centre (http://clc.du.ac.in/)

Yes, there are a lot of engineering institutes which can provide admission to you with low fees. If you have scholarship then you will face no problems in fees.

Jaipuria Noida is a better campus as in this campus there is more industrial exposure as compared to Lucknow.

Please refer to the link:
https://goo.gl/9EAF50

There are no good institutes in Lucknow to pursue event management course. The best institutes are listed below:
1) National Institute of Event Management (NIEM)
2) International Institute of Event Management
3) Amity Institute of Event Management
4) Apeejay Institute of Mass Communication