Great work on the models. I have a few ships from Xyston in the Greek / Phonecian era that I plan to eventually do up. They have a pretty decent selection of warships that cover a few eras for classical and Hellenistic vessels.
I did one of the battle ships up with sails, but trireme didn't really use them in combat , so I like how you've done yours. The masts in Xyston are really, really weak - so I ended up using tooth picks instead, haha.