Not every laptop will have an authenticated connection with each other. The laptop will send request to access point. Then the access point will send request to switch then response is sent via switch to the access points through particular laptop.
Access points ha two different frequency bands. If there are no other access points networks near you, it makes no difference which channel you select. If there is another Access points signal near you and you are both on the same channel, your access will be shared. At a given time, if only one of you wants to use bandwidth, you will get almost all the bandwidth of that channel. But if you both want to use bandwidth at the same time, each of you will get about half the available bandwidth.
If you don’t want to share bandwidth, you can change to an unused channel. The 2.4 GHz band has 11 channels in the US. But these channels overlap. There are only 3 channels that don’t overlap: 1, 6, and 11.
If you live in a high density area, there will be many Access points signals using channels 1, 6, or 11. You will want to pick the channel that has the weakest signals. Most Access points access points do this for you automatically, selecting “quietest” option between channel 1, 6, or 11.
If there is a pass-phrase mismatch between the clients and the access points then the error occur like Network Security Key Mismatch and client is not send request to server.