You have a open photobucket account.
All they did was copy the url from your first post,
http://i165.photobucket.com/albums/u...L/IMG_1259.jpg
Take off the image part
http://i165.photobucket.com/albums/u58/YOURURL/
And they have full access to all your pictures.
I suggest you make your photobucket private so no one can see each picture you have uploaded.
Good luck,
-Mr. Anon
EDIT: heres how to make your account private, Log in and at the top you will see account settings, Click that then click the edit my account settings, Then switch it to private.