When we put in a new bathroom fan we replaced the switch in the bathroom to put the fan/overhead light and the vanity light on different switches. It was originally wired with a single pole switch where there is one hot wire, 3 travelers or load wires and a ground attached to the switch. 2 of the traveler or load wires are pigtailed together, so on the old switch one copper end hooked on to the screw and the other one was pushed in.
On the new single pole with two switches, there are enough screws on the load side for both of the load or traveler wires to attach to screws, and the hot and ground attach fine.
No matter which screw on the hot side I put the hot wire on the rest of the circuit (other lights in the house) only works when the fan is on. The items in the bathroom work fine and independent of each other.
Any advice for whether we need to give up on the double switch? Or whether we need to check the wiring in the fan?
Thanks for any suggestions!
I'm adding photos: