Hi
usually you have one or 2 comm ports as phisycal (hardware) ports in your case but if you need more phisycal (hardware) comm ports to connect driectly to an external device then you have to buy a special hardware a board which is inserted in a slot to get more ports. But in your case you do not need it since you have 2 ports com1 and com2. Comm ports reserve IRQ 3 and 4 where they can share an IRQ so comm ports 1,3,5 .. and so on odd numbers take IRQ 4 in the otherhand comm ports 2,4,6 .. and so on even numbers take IRQ 3. What makes all these ports works to gother is they should have different I/O adress. In the case with modems since you say you set it to com3 this is a virtual comm port in your modem it talk the IRQ4 and the I/O addres is probporly the same with com1 so you need to change the I/O address of ether com1 from the BIOS or your com3 (modem) from the modem setting. The COM2 may be is disable at BIOS so go to BIOS setting then enable it since you do not see it in the control panel under ports. The other possible thing you should check for your device it after you enable your com2 from BIOS is that device if it need seting to use the com2 ports.
note:
Possible I/O address for comm ports.
3F8H, 2F8H, 3E8H, and 2E8H
Good luck
Mohamed