Thank you - I would start by upgrading the firmware of the router. The firmware update will have all of the patches from Linksys, and there were quite a few with your model. Here is how to do it:
You will need to use a computer directly connected to the router via cable - download this file and save it to the desktop:
http://tinyurl.com/yewef5v - double click the file and it will extract to a folder - try to make the folder on your desktop.
Open a web browser and enter this address:
It should autofill - just click to log in. If the login fails, leave the username blank and enter admin for the password.
Let's check a couple settings - click on Wireless. Make sure SSID broadcast is enabled and Channel is set to 1 (not mandatory, but 1, 6 or 11 will give you a better connection than Auto - they are 'clean' wireless channels). If not, change them and save the settings at the bottom.
Click on Administration, then Firmware Upgrade. Click the browse button and browse to the folder you made from the download - there is a file in the folder that ends with .bin - select it, then click Upload.
Let the upload complete - do not interrupt it and let the router restart (it's automated).
Try the Windows Logo - Connect To and see if your network shows now. You may need to click the refresh button once or twice: