I have a LInksys WRT150N Router. The modem is bridged. The router is providing the static ip info. The facility has internet access. The facility has no inbound access to the router management interface or the applications running on hosts. I see no attempts to log in on the router logs.

SOURCE: Remote Access

IF you are getting public ip from your isp, please go to administrator tab of the router and first change the router's password which is on the top on same page in black dots,,type your new password by deleting old one and re-confirm it just below and save it..router will prompt for the new password just to let you know settings are saved now enable remote managment option on the same page and port is 8080(default, you can use your own port number) and save setting..now you are ready to access your router remotely for that note down the public ip you are getting on your router's status page and in remote location you need to type something like :- http://x.x.x.x:8080...x.x.x.x is your internet ip (public) and 8080 is port number for remote management.

For host applications need to know which application you are running according to that need to open port in the router using Port Forwarding feature of the router.