Even if you post links to pictures that belong to a private album, the link and image should still be accessible to other users, so we don't have to worry about this ever.
The problem is that the links are too long to fit into the boxes on the avatar page. You will need to shorten the links. I cannot remember if Photobucket still allows users to rename files, but if that option is not available then you will need to save the images to your computer, rename them to something shorter, and then re-upload the images to your Photobucket account. When I pasted the links above into the boxes, everything after "custom_inno_dps_iumin" was basically cut off like below: tl;dr
just shorten the file name and you should be golden
sry i should have gotten back to you sooner ):