That height is very normal for a bridge piercing. Pinch the bridge of your nose, you have extra skin there! Some have more than others, and if it was too tight I wouldn't have gotten the piercing, for sure.
The beads took a little time to get used to, but it was very easy. Just like the fact that you can see your nose, but your eyes sort of forget it's there. If the beads are huge, it can be a problem, but they're close enough that I can't even focus on them.