Lower Voltage Power Source with Higher Voltage Components?
Summarising your requirements: A switch to toggle power from 9V battery, with 370 ohms resistors in series with 2 LEDs, so the current flowing through the switch will be 9/370 which is about 24mA.

The specs that you've listed out for the switches are showing the maximum allowable voltage and current that the switches can handle. They usually don't draw any power from the circuitry unless it is a illuminated switch which has LEDs lighting up when powered ON.

As many has stated in other posts, this forum isn't for product recommendation so I'll just list out what to take note to help you find the right switch.
To select for the right switch, you'll need to make sure that the switch rating is above 9V and can handle more than 24mA. The rest is just for you to decide on the switching method, whether it's a push button or a toggle type or sliding switch. You can go to popular electronic distributor sites to have a wider selection choice.