You can definitely go for Bachelor of Arts after science stream in senior secondary. You will not be denied admission to any course. You have the full authority to take the subject which kindles the interest in you.

Whether it might be literature, political science, history, economics or anything, you should give your fullest to the subject.

If you think science is not your passion, then certainly opt for a stream you feel you are good at and like, this is the time, else if you choose wrong stream then it's very hard to correct that choice later.

Yes, this is absolutely possible, you just have to apply in any university for history honours and have to qulify it's cut-off criteria of percentage. Which is different for different colleges. As you are a science student you can apply for commerce too. You have to prepare for the subject too for your graduation and interest in the subject also matter. So, choose wisely if it's your interested subject