Normally just drag & drop into trash. There are preferences though.
Check
Can't launch LW: Bouncing in Dock (click on link).
Did you upgrade to Tiger or did it come with the computer? You may need to reinstall Java.
BTW the error codes I see above look like hardware issues, such as a graphic card or something.
Edit: Oh your thread title is Tiger which is OSX 10.4, however you are showing Leopard OSX 10.5.1
Did you upgrade to Leopard or did it come with the computer? If upgraded then see the Sticky at top of section about upgrading to Leopard.