I believe I am one of the people with issues from the 8pm Sunday night mentioned above. I was in the room, some chat messages came through, and it appeared everything was fine. I was searching for players, filling my watchlist, etc. while I waited for the draft to start. I thought it was strange that around 8:08 pm the auction hadn't started and there were no recent chat messages (but other page functionality was fine, so there was no apparent problem). About 5 minutes after the last chat message I saw, I tried to type a messages asking what the holdup was and it didn't post. Only then did I know there was a problem, so refreshed. At that point, we were on our 4th nomination.
The only problem was that since it was before the auction had started, there is no way to know it's frozen. Mid-draft, at least you can see that either the nomination or bid countdowns have hung up. It was really unfortunate for me, because I had the most money to spend at auction (and many positions of need) and the three players I missed were a $23 Strasburg, $19 Lindor, and $23 McCutchen - prices I would have gladly paid.
This happened a couple other times during the draft, but it was not a big deal since you can see from the clocks that it's frozen. For what it's worth, I also had a draft on March 16 at 8 pm and had no issues - same computer, running an updated Chrome on Windows 10. Overall, I think Ottoneu does a great job; this is a somewhat minor hiccup on an otherwise excellent site.