Two unrelated questions:to 1.: No, you don't have encounters. It's just the option to move your merchant stack to a central position.
1. When playing the Kiosk tile that moves your Merchant stack to Fountain, do you have encounters there after moving your stack?
2. Does playing Guild Card #7 qualify as "using the action at the Fountain" to get your companion?
2. Yes, you can get your companion this way.