Apoorva at your age it is quite common to have diverse interests. History is broadly a humanites  subjects  and there are plenty of general BA/ BA hon courses dealing with this. Culture is manifested in music, arts, performance arts and each one of them have different courses. And human mind is dealt with in disciplines as diverse as neurology to psycology.  Culture also deals with issues like indian culture or western culture which are best dealt with in sociology or anthropology.

But interestingly even the course for which you are currently geting coached for also deals with each of these domains. Design is  good way to engage with all these issues. NID has a facinating programme in textiles which if you are so inclined could lead you to deal with  all these issues that you highlighted. So  take it easy enjoy the coaching as much as you can.

There is  also liberal arts, a new way of looking at education being offered by institutues like Ashoka, Flame and O P jindal. You can look at them as well if you want  a rounded education without tying yourself up to either history or human mind