By definition, a domain name is simply a human readable form of an IP address. In function it is the destination that you type into a web browser in order to visit a website, such a www.google.com. Metaphorically, it is very similar to how you would scroll to a contact in your cell phone rather than manually dialing the person by entering their full phone number; the phone number would be an IP address and the saved contact would be a domain name. Always buy a domain with a reputable domain registrar.
Yes. We recommend buying not only your domain name with your favorite extension (eg. .com), but also additional, alternative domain extensions (eg. .net, .info, etc). The reason is simple. Having more than one domain extension strengthens your online identity, secures your brand name and improves your online presence. Buying more than one domain extension also protects you from your competitors registering your additional extensions and enticing away your customers.
When looking up a bare name in DNS, the network stack will add the search domains to it to form fully qualified domain names, and look up those as well. For example, if the domain search list contains "wikipedia.org", typing "en" in the browser will direct the user to "en.wikipedia.org". Some ISPs add their own search domains via DHCP settings, similar to how they add DNS servers and other networking information; if this is undesired, the user can change this setting to ".local".