Are my relationship habits normal?

As I've gotten older, I've noticed a pattern in my relationship habits. With most people I know, they go out of their way to please their boyfriend/girlfriend in the beginning of a relationship. They'll be around them all the time, think about them all the time, make sure to do the right things, make sure not to say the wrong things...because they want to ensure they keep that person. I, on the other hand, am the opposite. I've been in a relationship now for 8 months. I'm now catching myself constantly trying to please this man. I always try to do right by him, obsess when I think I may have said the wrong thing, cater to his every whim, and think about him whenever I am not with him. I'm thinking it is because I do not want to lose him? But, why am I doing this now? I mean, our relationship is solid. Little mistakes are more likely to be looked over, because the love is there now.