Class 11

Hi,
Humanities is a vast and quite an interesting field. I suggest you to take arts, if that's where interest really lies. It is not compulsory to study history or geography, your school may not have the option for these subjects, and however it is not compulsory in all the schools. You can choose to study political Science, sociology, economics, and psychology, amongst many other subjects.

Class 11th standard result is not so important. It is just like a practice test for class 12th.

You can apply it after 12th. Yes, you can pursue hotel management or be eligible for NCHMCT-JEE if your steam is arts. It is just that, you need to start preparing for the exams. Better results in the entrance exams will give you better college.

Yes, you can apply for NCHMCT JEE 2018.

Students from class 11th will not be allowed to appear for the NEET UG examination.
Students who will be appearing in class 12 board examinations or whose result is awaited are eligible to appear for NEET 2018.
NEET Eligibility Criteria 2018 - age criteria
According to the NEET 2018 eligibility criteria, a candidate has to complete 17 years of age either at the time of admissions or else on or before December 31, 2018. Hope this helps. Regards.