Yes to both questions. See the turn order (page 3 of the english rules):
3. You get the trade ships for the markets as an award, you will get two (or three ...) if you complete 2 (or three ...) of your markets.
4. You may deliver wares, but only to one ship.
In the german rules the ships are not mentioned, but it is also written in chapter 3. Fertige, Stege, Inseln, Meeresgebiete und M