ok, so now java should be installed in "/usr/java/j2re1.4.1" I think... you can check by typing this...

find / -name java 2>/dev/null

it should return the full path of the java binary.
Once you know where java is installed, in a terminal type "gedit ./.bashrc &" and (even if it's a new file) add one line that says

PATH=$PATH:/usr/java/j2re1.4.1/bin

or whatever the directory is that java is in. save it, close it, and close the terminal. Open a NEW terminal (so that .bashrc gets executed) and type "java". if you get the java options stuff you're doing good. If not play with the path you added to .bashrc until it works.

Once you can just type "java" to execute java, in the terminal just type "./limewirelinux.bin" and it should run. If you get "permission denied" type "chmod 755 ./limewirelinux.bin" and try again.