Are you talking about your Windows firewall? Seems like it, because if your actual firewall was allowing all inbound connections on all ports, you'd be kinda fucked anyway.
Firewalls are stateful. Also I doubt there's a static NAT involved here.
I am not sure you're in the right place if this is more of a home PC concern, maybe there's a security or client systems page that would be more help doing investigation on the OS side.
Do you mean windows firewall or your network firewall? If the later you need to hard reset the home firewall, re-image it with a good firmware from your manufacturer. Then disable UPNP and change the default admin PWD.
For the windows virus, if you are dead set on not re-installing the os on a freshly repartitioned drive after re-installing the latest BIOS firmware for your product, you could look up process explorer. it is a nice task manager replacement. Download pre-install av removal tools and run them, you could also use Microsoft’s built in removal tool (download latest update for it first).
It is the Windows Firewall, nearly every port is wide open, and many uneditable.
Please try /r/techsupport as they will be more likely to be able to help you with this client device issue.
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