Inc9385 osticket/api/api/rcron_email.php
Well this isn't a valid path /api/api/ in a normal installation, and that isn't a file that exists in osTicket.
There is an /api/cron.php which is run on the local system that osTicket is installed on.
There is an /scripts/rcron.php which you would want to put in the /api folder if you needed to call cron remotely instead of on the server. (like if you were running a 3rd party cron utility to call it, or from another server.
Inc9385 May 20 09:36:01 osticket CRON[193530]: (CRON) info (No MTA installed, discarding output)
The error says you do not have a MTA installed. So I guess I should ask... do you?