Without the limited constraints and choice options related to maintaining a warranty, in my opinion, "tire and lube places" do have a purpose "if" you can find a reputable one. I am less trusting with any shop including the dealer regarding some repairs, including an oil change, especially if it is someone new. I did have a bad experience with a dealership where I caught them red handed in dishonest practices and actual theft. This does not mean all dealerships are bad but we probably can all agree that they are more expensive. In some cases, where finding a qualified and skilled mechanic is difficult, the dealership may be the only option.
Even so, I will occasionally use a quick oil change place only when I bring my preferred oil and filter and I am able to observe the oil change. Before I arrive, I know how many miles I had since the previous oil change. I would notice if I had a leak in the driveway and I frequently check my oil level. I also know my oil pressure before and after the service and I will monitor the oil pressure and level for several drive cycles to ensure there is no leak or other related issues. Unfortunately, I know how expensive engines are.
YOUR SITUATION:
The tech said the "Engine" oil was leaking and the oil pan needed to be changed.
1) Was the pan actually damaged and did they show you the old one and the damage? If it was a seal then the pan would not need to be replaced.
2) What was your oil pressure before going to the shop?
3) What was the oil level before they started working on it? If it was low, they should tell you it is low, as a policy, to prevent potential false liability claims.
4) What was the oil pressure before you returned to the shop?
5) What was the oil level before you returned to the shop?
6) Would you know if they actually overtightened the drain plug, it stripped out, maybe tape was added to hold it in, it leaked all the oil during the drive back home, and maybe the plug fell out?
Monitoring the oil pressure being low is your last chance for action before engine damage occurs. One time my oil was slightly low but I parked on a steep incline. I immediately noticed low oil pressure on startup, rolled the vehicle down to level ground, and it was fine. I do not do startups anymore parked on inclines.
Sorry for your issues and unfortunately the expensive educational experience. Your scenario has too many unanswered questions here, and it has an odor of mendacity.
