savoloysam
Pigman's pigman's ha ha charade you are..
You should definitely be closing 21, 23, 53 and 80. 21,23 and 80 are insecure and shit and should be closed even if you have a reason to open them. Telnet is one of the least secure applications the internet has ever produced.
Which device in your network is internet facing? Is it the router or the firewall? If you need to connect to whichever one is the internet facing device remotely, then you might still want 22 and 443 open but I wouldn't recommend it. It's safer to VPN onto your network and connect to them from inside.
Do you have any logging on this device? Because if you have port 22 and 443 open, they will be constantly being hit from hackers doing port scans and password cracks.
I assume that result is the modem or the router (I use a separate one of each)
The only ports open on the firewall are 22 SSL and 53 DNS which with my limited knowledge seems about right?