Their server seems to be back online, but for some reason I can't get my app to work with it. Whenever I send a request string to their API server, I get back a "403 Forbidden" error. However, if I take that VERY SAME string and paste that into my browser, I get a normal response back. I put in a Trouble Ticket with them about this over a week ago, but due to how busy everyone is there, I didn't get a response until just yesterday. However, the response merely apologized for having taken so long to reply, and then just asked if everything was working again. I told them it wasn't, and I've got my fingers crossed they'd reply a bit sooner this time now that things are returning to normal there.
I wanted to update everyone on the current state-of-affairs. I'm hopeful they'll get back to me with something I can use to finally fix this problem. After that, I just have to cross my fingers that Google hasn't changed any rules concerning approval of this app. If I encounter any further difficulties as a result of Google Play rules, I'll post an interim build here in this group.