What makes you think your IP address is not right?
Note that wireless and Ethernet would use two different IP addresses.
I am going to assume by modem card, you mean network interface card (or NIC). Your modem is typically your network's gateway device - the device that connects your network (everything on your side of the modem) with your ISP's network (the world side of your modem).
Do other devices on your network connect to the Internet okay? If so, it is not your modem.
For your Ethernet (wired connection) check your cables. Better yet, just swap in a different one. Ethernet cables are cheap, fragile, low tech, but very critical and important network devices that are easily damage. I would also try a different switch port (typically 1 of 4 on the back of your router (or integrated with modem). Ports can go bad.
If no good, do a "cold" restart of your computer. By “cold”, I mean shut down the computer and flip the master power switch on the back of the power supply (if your supply has one) to off (or “0”) or unplug the power supply from the wall for about 15 seconds. Then turn the master power switch to on (or “|”) or reconnect power and boot up and see what happens. By totally removing power, you remove the +5Vsb standby voltage all ATX Form Factor power supplies are required to supply whenever the power supply is plugged into the wall and (if applicable) the master power switch is set to on. This standby voltage is distributed throughout several points on the motherboard, including RAM for faster boots and the USB ports too. This also keeps alive several features, including “wake on keyboard” and “wake on mouse”, and the network interface for “Wake on LAN” commands. A cold reboot ensures any device settings that may be held by the standby voltage are released, then reset when power is restored.
If still not good, you may have to do a cold reset of your modem and router (if separate) too.