Nope. First, you need to use the Insert Image tool so it adds the IMG tags properly with square brackets [square brackets].
Secondly, you are just using the URL to your overall library, not a specific image. And the library link doesn't work because we aren't logged into Photobucket as you - only you are logged in as you. So we get redirected somewhere else.
I can tell your link is to a library and not an image because it starts with "s1026" - image paths start with an "i", and would probably be "i1026" or something.
As you can see in my example, you should have a big long URL, with the photo image file name at the end, ending in ".jpg".
Something like
http colon/slashies i1026.photobucket.com/albums/blah/GalvestonGuy/MyGuitars/GuitarPhoto1.jpg
(I took out the stuff that will parse it into a link, because it is just a fake one...)