I am not sure what the home is or Channel, but selected is how many people (not unique, but times) the article has been viewed.  The Points are for the top sites, not the permanent blog points, and replies are pretty self explanatory.

There are 2 types of points.  Permanent points (15 per article, 5 per reply) and recent points.  The latter is comprised of views to your blogs as well as replies.

Referrals are when someone links to your article from outside of JU (like a Google Search).

And finally, yes, maybe (is that not a great answer?).  ON the notification, you can click on the magnifying class.  That will send you an email (most of the time - it is a little buggy) when someone replies to your articles.  You can also click on that icon on anyone else's article you want to watch.

Channel has to do with the number of hits you got because of the category (channel) that you chose for your article. (This one's in "Blogging".)

I checked mine and saw 2 different channel numbers for 2 items I had in Current Events.

Home = Number of times the article has been served as part of someone viewing the "home page" of your blog, eg. http://avantitexan.joeuser.com/ . If you have an article featured, this will also include the homepage views from the JoeUser front page, https://www.joeuser.com/ .

Channel = JoeUser can be surfed by the categories articles are placed in which display articles as homepages do, i.e. 5 to a page. This number tells how many times your article has been served that way.

I just noticed that there are points even when there are no replies, how is that?

Each article gets one point every time it is viewed, five points every time someone other than you responds to it, and a tenth of a point for each Home or Channel view. (1/10 because there used to be 10 articles to a page instead of five, but that was changed to speed up the site. So, the one point was divided between the 10 articles displayed. Even though they cut the number of articles shown, as far as I can tell, they never adapted the points to reflect that.)

By the way, the points aren't an exact science. For instance, I've noticed that people viewing the article versions served up from RSS feeds trigger a page view but not a point. That can throw the exactness of the points off. It's close enough, though. Since we're all laboring under the same inexact system, it works out.

ON the notification, you can click on the magnifying glass.  That will send you an email (most of the time - it is a little buggy) when someone replies to your articles.

Somewhere in the settings, there is a preference you can set so that all your new articles will automatically be watchlisted. (As Doc said, it's a little buggy, but it's better than nothing.)

It's at My Account >> Select Site Theme & Titles

(I think this link will get you there.)

Make sure the box next to "Enable Auto-Watch" is checked.

Referrals are when someone links to your article from outside of JU (like a Google Search).

To be anal-retentively precise, it's when someone clicks on (or otherwise follows) a link to your article from outside JU.

Some spammers generate false clicks so their sites show up in the referrals, thus giving them a link back to their site which they hope will help their search engine rankings. If you see a number of referrals from strange places and go there only to find there is not any reference to your article or blog, that's probably what happened.

Home = Number of times the article has been served as part of someone viewing the "home page" of your blog, eg. Link . If you have an article featured, this will also include the homepage views from the JoeUser front page, Link . Channel = JoeUser can be surfed by the categories articles are placed in which display articles as homepages do, i.e. 5 to a page. This number tells how many times your article has been served that way.

Thanks! Now I am edumacated! I did not know that.

To be anal-retentively precise, it's when someone clicks on (or otherwise follows) a link to your article from outside JU.

Nit picker!