No it is referring to the def file not Link.pm
>>the permissions are set incorrectly at /home/public_html/esc/sql/cgi/admin/Links/Link.pm line 377.
I know that looks like it is referrring to Link.pm permissions but it just means the error was detected whilst running code in Link.pm
You need to make sure your defs directory is 777 and then resync the database.
Also make sure the prefix's for the defs are correct.
If that doesn't fix it you'll need to put the reviews def back in there from the original tar.