Need advice with paint

I live in Austin, TX.

I recently hired a licensed and insured painting company to repaint the interior of my house (ceilings, walls, and trim). For the most part, I am happy with what they have done. However, recently I have noticed that the paint on the trim isn't adhering well.

I have been speaking with the painter. He ran his fingernails along the front of a door to prove that the paint had bonded. His fingernails came away clean and there was no damage to the paint on the door. However, I at one point ran into a door with my laundry basket and some paint fell off. He wants to treat this as a touch up job where I point out all of the places with defects. I'm concerned that the trim paint hasn't bonded at all and this is going to be one touch up after another until the warranty runs out and I'm SOL.

I don't know what the original paint of the trim was. The paint that the painters sprayed on was sherwin williams acrylic latex.

I have two questions for the community:

1. What is the correct way to fix this problem so that I have a lasting solution
2. What should I expect from the painters in terms of getting to a durable paint of the trim