A handful of domains will have restrictions on them, which means you can only purchase them if you meet or exceed certain criteria or have authorization (some examples are .gov, .edu and .mil). But most extensions are available to everyone. In fact, most country code Top Level Domains (ccTLDs) are available for anyone to purchase, even if you don't reside in the country code in question.
If you sign up with Bluehost and want to open an online store, you have a couple of different options at your disposal. If you use WordPress as your CMS you can set up shop pretty easily by installing a plugin like WooCommerce and figuring things out from there. Alternatively, you could sign up to one of Bluehost’s eCommerce packages, which allow you to create an online store for your website in no time. Each package comes with a WooCommerce auto-installer and configuration tool along with a number of other useful features.
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Bluehost does offer an automatic backup system along with daily scheduled backups, albeit these are only included for free with certain hosting plans. However, you can add a backup system to the packages that don’t already include it for just $3 a month, which is a small price to pay for keeping your files safe. That, or you can simply back up your files via FTP as mentioned earlier.