Blogger (www.blogger.com) is a free publishing platform owned by the giant company Google. A publishing platform means a comprehensive tool to publish articles and web-pages in a domain / website. Therefore, users don’t have to use the old school file transfer protocol (FTP) to run their websites, the platform takes care of everything.
Blogspot (www.blogspot.com) is a free domain service provider owned by the same giant: Google. The free domain provided is actually a sub domain (like example.blogspot.com). This company is to support Blogger in delivering free blogging service.
Blogger and blogspot are the same. Blogsport i have no idea if thier is such a site. You sign up at blogger and get a blogspot blog. That is the name of blogger blogs.
The problem with blogger or blogspot is they can take your blog down or you could loose it and all the hard work you did on it.
If you have problems logging in blogger or loose passwords they have no support that helps much.