A $1000 bike for riding 4 miles a day?
A cheap used mountain or hybrid would work for that distance.
Anyhow, for $1000 I would not pick any of those choices due to the fact I am addicted to drop bars.
I would either pick a touring bike or a cyclocross bike for commuting. That being said, when I add a racing bike to my stable it will also ride the commute every once in a while.