If you do not have Imagick you may still be able to use Imagemagick; upload this and see if you get any output:
system('which convert',$path); print_r($path);
I have had a quick search and it looks like 1&1 make you install Imagemagick yourself which can be fraught with problems. I get my hosts to do it for me as I have probably had a 40% good install average!
Warning: chmod() [function.chmod]: No such file or directory
I would guess you have a path or something wrong and the code is looking for a folder and is being given the image name instead.
You will have to upload your code.