I don't see why not. Unless you don't really know him or her very well, because that would be kind of creepy. But if you guys talk every now and then or are at least friends, then sure, go for it. Just be sure to not get caught stalking your crush if you choose to do that! :P
Of course..Why not! You should follow her or him on twitter and also see her Facebook profile.. So you got every information about your crush..
YES!!! Of course! If you speak to him or her on a daily basis it would be more awkward not to follow him/her! If you don't, do it anyway! I don't know half the people that I follow so if you know this person, it would make sense!