It looks like your connection is making it past your own router (192.168.1.1), which probably means that it isn't a problem with your firewall or any such thing. Then it reaches your ISP, after which it meets with a considerable delay before going further. It is probably during this time that the connection times out in AssaultCube. This means it could be an issue outside of your control.
I'm not sure, though. Maybe the second hop represents your ISP's modem (computer -> your router -> ISP modem -> internet), so you should try connecting directly to the ISP's modem via ethernet cable, log in to the admin interface on it, and disable its firewall. Your own router will have a firewall, so having one on the ISP's modem is unnecessary, and I find that the firewalls on those modems tend to cause trouble.
Windows key + R, 'cmd', and type: ipconfig
Find the "Default Gateway" beneath "Ethernet Adapter Local Area Connection"
Browse to that IP address in your web browser. You will probably have to log in. The password might be on the modem's label, or else you will have to Google for "[modem brand] [model number] default password".
I'm not sure, though. Maybe the second hop represents your ISP's modem (computer -> your router -> ISP modem -> internet), so you should try connecting directly to the ISP's modem via ethernet cable, log in to the admin interface on it, and disable its firewall. Your own router will have a firewall, so having one on the ISP's modem is unnecessary, and I find that the firewalls on those modems tend to cause trouble.
Windows key + R, 'cmd', and type: ipconfig
Find the "Default Gateway" beneath "Ethernet Adapter Local Area Connection"
Browse to that IP address in your web browser. You will probably have to log in. The password might be on the modem's label, or else you will have to Google for "[modem brand] [model number] default password".