Here's the thing with Doc's notes.
If the company requires you to get one, it has to pay for the appointment. Also mention that it'll take 2 weeks to get the appointment and ask what do they want you to do in the mean time. It's not bad enough to go to the ER, right? If they really want it, make sure you get a credit card number ;-) There are times I have been sick, like a head cold, and knew that it wasn't something that a doc could help with, unless there now is a cure for the common cold.
So, why should I have to pay, especially if I wouldn't go to the doc in the first place?