likes show up on activity
This could be a reason. Maybe an option to restrict the "Recent Activity" tab to administrators?
You don´t get anything from pressing the like button.
Well, actually, readers would have the advantage that the story will be continued more likely. Though I guess, that is something, most readers don't think of.
Only a few people do press the like button anyway which means it sadly does not represent properly if your story is liked.
In general, it should show the likes at a ratio, except there are only one or two likes on each chapter.
In combination with some genres, the comparability could be difficult. People could avoid to "like" to conceal their preferences (like said above), though they could stay anonymous. There can also be genres there the fans are more used to push the Like button (name it generation FB) where a higher percentage of the reader use that feature.
But it would be great if you could see in the stats how many people favorite an author.
I think there isn't a suggestion about that yet.
Number of views in later chapters helps an author determine if it is a good story or not more so.
As far as I know, views are also generated by crawlers, so the number depends on more factors like front page time, top stories, internal links, game mode and so on.
It may work better on later chapters, though I still think it isn't a reliable number. Additionally, if you already have a lot of chapters, it is quite too late to realize that it's crap

And, tbh, I'd rather continue a story for 5 guys who constantly appreciate the work than for 50 Freeloader... I mean, it's a click!
I could also imagine, that readers are too immersed in the story or too "busy" to push the button. (In my current story there is drop to about the half of Likes at the sex scene chapters in comparison to before and after. So I can only imagine that they are crap, too short (though due to more decisions), or the aforementioned).