No one has tested the oil sample. The car stopped about 500KM after the oil changed and the there was more than enough oil in the car when Acura had taken it out of the car. They didn't find a foreign object in the car, they are just saying that it is a possibility. Quick question, how can I get my oil tested and see if they put the right one in?
There are oil analysis companies all over the country (including Canada), just do a Google search. Speak with the company first and let them know what the situation is. There are various types of tests and they can guide you as to what you want.
You also must consider that Honda/Acura engines don't have a propensity of locking up due to lack of lubrication. So you really can't come into court and say that this happens all the time with these engines. On the other hand, Acura can come into court and say that Mr Lube has X amount of customer complaints including X amount of engine lock ups due to lack of lubrication. Yes, it is circumstantial evidence, but nonetheless, still important in court.
I realize you are frustrated and would prefer Acura to just replace the engine, but they can't.
Instead of making Acura your enemy by threatening to sue them; make them your friend and they can be very helpful against Mr. Lube. I think at this point, with the amount of money involved, your best bet is to obtain an attorney who has experience in these matters.
At some point you need to put Mr. Lube on notice by letting them know what happened. Let them have the opportunity to inspect the engine (be there at the same time and watch them carefully). They will take pictures and also take an oil sample. Don't rely on their oil analysis, get your own. If it is obvious that Mr Lube screwed up or scammed you, you will be getting an offer from them quickly.
Start keeping track of your expenses. Rental car, inconveniences, etc. This matter could take months to straighten out and you want to be reimbursed for your time and trouble. Hope some of this helps.