i walk funny too sometimes because i'm worried about how i walk ... sometimes if a friend talks about me to their other friend, and then i meet them, i get really scared that i'm not as cool as i sound. but don't worry, you're cute and sweet and awesome and there is no reason a person shouldn't adore you .
I used to be really self-concious, then I stopped caring what other people thought of me and just worried about what I thought of me and I'm a happier person and get more compliments on my personality/looks than I ever thought I would. So, yes, it's normal.