If it is a Starz Resort property, it should be a very nice hotel. They just opened the Sosua Bay Hotel and it is excellent. They are trying to make a place for themselves with hotels more upscale than the majority in the Sosua/Cabarete area.
As far as cost to the hotel, I don't know. Taxis based at airport tend to charge more than those based in Sosua and Cabarete because there is no other option. Also, peso has fallen considerably in recent weeks. If I had to guess, I would say in neighborhood of RD$500, or US$15-20.