Site privacy problem?

a site called beatlab required me to sign in with my facebook account to save my "work" and it uploaded my work onto their servers. but, it shows my real name and if you click on it, brings me to my profile which shows everything about me. (even logged out of facebook). i can't contact the site privately either. so currently i have disabled public search which helps but since the site doesn't really high traffic, my work will stay on their for over 2 years! and i would really like to return my privacy setting back to "friends of friends" instead of blocking my profile to everyone. should i be concerned? what can i do take off my account on the site? i have also removed the beatlab app from accessing my information but whenever i update my facebook the site updates my profile as well, even though i'm not logged onto beatlab.