Quick answers:
1- Does both Port and Starboard accessory switches go to power the same panel?On my boat the accessory panel is divided into two sides for power purposes, with the port 9 switches powered by "Accessory 1" and the other 9 switches by "Accessory 2", as shown in the schematics of MY boat. The generic schematic is different, and may not match your boat (or any other as far as I know).
2- If the switches do not go to the power the same panel, what does port and starboard usually power?Depends on your boat. It is probably like mine.
3- What is a good replacement switch? Maybe a higher quality and higher current rating?The stock switches are 20 Amp WOOD ELECTRIC model 7649 112-220-101 which are no longer made, and are unreliable around salt water anyway. They were made for aircraft. The toggle version is very hard to find, the pushbutton versions are sold at DFW Airparts.
I use MS39019/01-257 breakers, which are sealed space-qualified units. I have a couple of buckets full, but few in 20 A. They are around $130 each at Newark.
They have cheaper SnaPak ones, also at Newark.com, their Newark Part Number: 90C0671. They have a 1/2" thread and a plastic toggle (in six colors!), along with 1/4" blades for push-on connectors. Price is around $15. Note that the push-ons are limited to AWG 14 wire, usually. The ABYC allows 35 A in 14 wire.
Consider buying a new panel with modern breakers.
1975 32' Flybridge Sedan, twin Perkins 6-354 diesels, 1:1.53 velvetdrives, 16 X 19 props. Merritt Island, Florida