WordPress database error You have an error in your SQL syntax; check the manual that corresponds to your MySQL server version [closed]

There are multiple ways to fix this. You can either remove the if-condition containing SHOW TABLES LIKE (remove lines: 117, 135 and 137, 157). That should work as the dbDelta function checks itself if the tables are already presend.
Or you could just add some single quotes to the table names in the lines 117 and 137:

"SHOW TABLES LIKE '$jsrm_menu_table'"