I fixed it! Back to my proper share count in Facebook (I lost the 5 shares in the interim unavoidably though). Here’s how I solved it, in case others find this thread.
First, I queried Facebook’s API directly with the following special links. Here I discovered that Facebook is treating the “http” and “https” versions of my site as separate entities within their sharing “graph”:
https://api.facebook.com/restserver.php?method=links.getStats&urls=https://savebees.org
https://api.facebook.com/restserver.php?method=links.getStats&urls=https://savebees.org
I took a quick refresher on Open Graph tags, and installed this plugin: “Facebook Open Graph, Google+ and Twitter Card Tags (1.5.2)” I did this because I found out that what I wanted was to get an “og:url” meta tag on my page, which Facebook (and other sharing networks) see as the canonical URL for a given page. The deal is that one wants the og:url tag to point to the well-shared version of one’s site (in my case the “http” version). Then one can let the 301 redirect in the .htaccess (which sends all http requests to https) do its thing.
I then changed my WordPress General Settings back for WordPress URL and Site Address URL to “http” rather than “https”, because that’s what the plugin uses to set the link in the meta tag “og:url”. I had originally changed them to “https” because I wanted to make it easy on myself in the future when uploading images in posts/pages for those image sources to be https rather than http (to avoid those mixed-content security messages). Well, I’ll just edit those in the source of future posts manually until I find another way to set the “og:url” tag separately from modifying the General Settings in WordPress. For now, I’m just happy to have my many FB shares back!
Odd that Twitter didn’t have this issue with its share count (more sensibly seeing the “http” and “https” versions of my site as one and the same sharing object). It irritates me to change the way I wish to do something simply for Facebook. If only I’d setup my site to be https at the very beginning! For now this works though, and I’m happy to move onto other things. If anyone has a better suggestion, feel free to post it ??