Thank you for your responses. I checked the router and the time was correct, but then I realized that the external hard drive I am using also has firmware on it. It turns out that the time on the external drive is incorrect, off by exactly 1 day and 21 hours. That is clearly the problem.
So, I guess this isn't a FineTunedMac issue anymore, but I am wondering if anyone has run into the following problem. I think the problem started with a power outage and the system picking up the wrong time when it was turned back on. The Date & Time setting on that software either lets me manually set the time (which I could do, but then the next time the power goes out I assume everything will go haywire again), or I can use an "NTP Service". It is currently using NTP and the primary NTP Server is set as time.windows.com. Is there a better/more consistent and accurate NTP Server I should be using.