Why is the draft starting on Tuesday? Shouldn't it start on Monday?

It does start on Monday - double check the schedule. If you're confused by the "2 days X hours" in the countdown (as I was as well when I saw your message) note that 1 day would be Sunday morning, and the 2nd day will be Monday morning, and the hours (at least as I write this) is only at 1, which is still Monday morning.

I must have looked at round 2, because I swore I saw 11/5 as the date.

Thanks!