Well, if you know the password windows should remember it so it can be logged in to the network at all times. If it is no longer accessible please check your wireless settings or contact your network admin. He/She may have turned off the internet connection or changed the password. Also you may have bad internet connection your self.
If the access point has a wireless interface and if your laptop supports the wireless network type, no you do not need a router. <><><><><> If the laptop is not near enough to an access point, it will not be able to connect. The router is immaterial.
Either connect via a wireless network, connect through a 3G network or connect your laptop with an ethernet cable.
WiFi ready just means you have a wireless card you need an internet connected wireless network available to access the internet.
No. You can not attach a router and use a standard Verizon Wireless aircard as a wireless access point. This is why they have MiFi which is essentially a wireless access point.
Wireless network adapter.
99.9% of modern laptop have both wireless as well as wire network interface.
Fiber
Basically yes, any laptop with wifi capability and within wifi network will work. Other factors might contribute, is the wifi has public access, can you connect your laptop to the wifi network available and might be the wifi network required certain fee access that you may or not willing to pay.
This is a bit tricky. I was tempted to answer "Check whether your wireless is on". However, if you do "View wireless networks" you will not only seewhether your wireless is on, but alsothe school's SSID,what type it is andif it is protected plusyou will be given the option to connect to itand that makes it faster to connect to the school wireless network
Yes. You need a wireless network adapter card in your laptop or computer and a wireless router
It's a matter of choice. If you like flexibility laptop will be better for you. If you do not mind to have your computer at the same place desktop will work for you.
Yes, it is possible to use a laptop as a wireless bridge for xbox live.