this was done to me at a quick lube place and 200 miles down the road my engine locked up.
Yes. you should document everything about this and hold these people to task. Have several witnesses present when the oil pan plug is removed and what is in the pan is drained into a clean vessel and the amount (volume) is documented, and possibly lab analyzed to prove or disprove that these people are at fault. If they are then they owe you an engine.
Depends on how much they put in and what your overall oil capacity is. But yea, it can do it if in high enough concentration. I would think there would have been some mad ticking before it went. If so, then Id say yes. If its compleatly seized then see if it can be freed, use some restore oil additive and let that sit in the engine for a day or so, then crank. But yeah, they should be liable.
Was there oil in it at all? Almost sounds like they didn't put the drain plug on it. And yes, it depends on the additive, as they act like a cleaner, and tranny fliud doesn't hold up to the demands like engine oil does.