I was able to fudge my data to get the achievement badges that I hadn't gotten. Just to recap, I lost out on the regular October Move badge as well as the 365Move badge. I had legitimately earned them, but due to restoring my phone on Sunday, I lost out.
So here's what I did.
1. I set the date and time to 10/29, 10:30PM. I chose this time because I was already in bed at that time on Sunday, so I shouldn't have had any data already posted to it.
2. Went for a little walk in order to get an extra 25 kcal on the Move/Active Energy. I felt that 25 was the right target because I had 675 on my watch post restore. I had 82 on the watch pre-restore. I theorized that the 675 didn't trigger the acheivement, which is set at 700.
3. It didn't work ... in fact, it made it worse. I didn't get either badges, plus I lost the rings for 10/30 and 10/31.
4. At this point, I was ready to give up on the badges, but my mild OCD was going crazy looking at the two days of blank rings. All of the data was still on the phone, but the rings were blank.
5. So what I did was change the date to 10/30 and reloaded the Activity app and the rings for 10/30 reappeared. At this point, I got the badges I was due.
6. I then set the date to 10/31 to get the 10/31 rings to reappear.
7. Lastly, 11/1 and 11/2 and 11/3 disappeared too, but by this time, I figured that setting the dates again would fix it. And it did.
So now, I have all of my rings, plus the badges.
I hope I won't have to do this again at the end of this month. Dang.
Moral of the story is to do restores and reinstalls either at the beginning or end of a day.