ok, sorry i missed seeing there was a comcast set of routers, i saw u say linksys and so looked up the model there, u well notice all the extra options, that might be in the technical setup (might not be to), by the look of that lot they have just altered the firmware on the router, (those comcast pages are in the router).
Anyway, heres what ya can do, set up the 113 for ident (make sure the ident option in mircs on as well else thats not ever gonna get used anyway)
Ansd set up your forwarded ports, i doubt you need 1001 of them, i would suggest something like 6001-6020 20 should be fine for any one.
Anyway what ever ports u forward, i suggest you next go here
https://www.grc.com/x/ne.dll?bh0bkyd2 this is a websiote that scans you to see what ports you have open, select the port range 6001-6020 (or what ever u selected in the end for dcc ports) and do a custom port scan, i suspect you well find there all stealthed. AKA a firewall is still in effect.
Assuming that happnes go to the router and setup DMZ to your lan IP (this is essentialy saying forward ports 1 to 65535 to this ip) aka all ports forwarded to this IP. AND remove the portforwards u had, as they might conflict, so all u got is the DMZ, then hit that firewalling website again and check your ports, and common ports, if they all still appear to be stealthed, i would suggest its (1) the pc is firewalled still, or (2) the routers stuffed and ask your isp for another one.
Heres something you can do if u got more than one pc
start pc1 up and run mirc logon to a server, on pc 1 type in
/LOCALINFO -h wait 5 seconds then type in
//echo -a $ip it should reply with the 192.168.x.y ip
start pc2 up and run mirc logon to same server
goto pc1 and type
/dcc chat PC2mircnick to chat to nick on pc2, this is using the internal lan ip so does not need forwarding from the router, if the server can not connect it is due to a firewall issue most likely on PC1
^ the above might also be able to be done on one PC using two copies of mirc running (not sure about that, havent got mirc here to try on sorry)