Trademarks are dealt with the trademark and intellectual property departments of the government departments and they provide trademarks.
so it is country specific and can vary the process of trademarks registration in different countries.
For instance, in our country India, it is dealt by ministry of commerce and industry, department of intellectual property and trademarks.

This option is available with both the names mentioned.
when you sign up for their hosting services, they give option to choose new domain name or a domain name that you already have with you.
The free domain name provided in the package can be used for another website.
This is very needed because at times we don’t come up with the exact name and we want to test the hosting services with other domain names.