It won't create any more security issues than having ports 80 or 443 open. If ports 9675 or 9676 aren't open, you won't be able to communicate with the server at all.
Are you using HTTP or HTTPS? Make sure the firewall exceptions specify the proper connection type. Also, make sure those ports are open on the server, the client, and any routers that may be in between them. Those ports aren't normally open (a good thing, from a security perspective) so any of those firewalls might be blocking it.
Can you telnet into the server?
Is there a public IP address for that server? If so, try http://publicIPaddress:9675
Clearly something got reset when the server was restarted, but without more details about your environment (which you may or may not be willing to share), there isn't much more I can offer in terms of diagnostics.
Edited by sflatechguy, 15 July 2013 - 01:59 PM.