Your leak is probably at one of the water line connectors at bottom hinge. You'd need to pull the grille to see them. They're commonly called sharktooth connectors and often do not get fully pushed together if installers pulled door off or otherwise messed with them. A leak there also means that air enters and the tubing in the door drains whatever was in it down through dispenser spout and into tray.
If you hear the valve him when you trigger dispenser but nothing dispenses there's a good chance the water tank in back bottom of fridge compartment has frozen. Its just a big coil of tubing but it holds enough to give you chilled water on demand. Other possibilities are a bad valve (unlikely) or a kinked line.
If that tank is frozen usually ice production slows or stops also as I think all water passes through that tank.
It should be simple for the tech to diagnose.

Thats a bunch of issues, rare on brand new units. Probably related. I'd have to see it to get thermistor data, actual evap temps, hear fans, etc.
Let me know what he says.