Thanks for all the responses.

The itinerary I have on hold has all AA flight number and all flights are in fare basis code B. I thought it was relatively cheap at $1409 (with only one stop-over). The cheapest Business class fare (searching all airlines), with one stop, is $3600.

I actually checked the reservation again and the seats on the Eva flights were assigned. According the seat maps on Eva's website, they were assigned in the Evergreen Deluxe cabin.

Question answered.