running a bash file states:date: command not found

Solution 1:

PATH="/var/log/servers/Game/"

This sets the PATH to just that directory, and I doubt that directory contains date.

Be careful when you use uppercase variable names, you could easily be stomping over a standard environment variable.

Stick to lowercase, and be more descriptive. Consider using, for example:

log_path="/var/log/servers/Game/"
NEWFILE="${log_path}${FILENAME}_${DATE}${EXT}"