Plaza Hotel Etiquette?

Weird experience at the Plaza, wondering if I did something wrong?

For context I grew up lower income & this was my first time going to a restaurant of this caliber. Trying to learn for next time.

Had a reservation for tea at the Plaza yesterday with a friend. As I walked up to the hotel, I told the doorman I had a reservation for tea. He was very brusque & said “I have to SEE it”. I said “ Yes, of course “ As I was pulling out my phone, he continued speaking in a very harsh way “I have to SEE the reservation, you have to SHOW ME.” I held up my phone & showed my online reservation to him, he says “Nope, can’t see it”. Another security guard rushed over and said “I see it, enjoy your tea” and let me and my friend through.

Our waiter was lovely, as was the hostess and coat check girl, but all the other staff we interacted with were very curt, borderline rude. The person refilling water scolded my friend for putting a refillable water bottle on the table, an employee we asked for directions to the bathroom was rude. I dropped one of the desserts on the table (it slipped, I cleaned it up with a napkin) and a different waiter started glaring at me.

We were wearing sweaters, pea coats and dress pants. We seemed to be dressed on the same level as most other people there. We didn’t have designer handbags, which was the only thing I could think of that made us stand out from other guests? I get that my friend shouldn’t have put a water bottle on the table, but I’m a little lost as to why most of the other staff were so cold to us.

Anyways, I would love any feedback on if there was something I should have done differently. Thank you all <3