Is MBA in hotel management after BA a good option?

There is no comparison between these two. Because, they have their different subjects and different field of job. So, it totally depend on you what you want government job or skills?

Studying different course (MBA) apart from the one, which you have done till date BA. It is not a problem. Always remember, Education is never a barrier for further getting educated. But, if you are looking into your career, the fluctuations in the education course will be pin pointed while getting