Hi Jonathan, I have much experiance with all this & can answer with certainty.
I've personally done all this with my own stuff.
Regarding the switches, 15a @ 20v is best due to they can take a full short & usually would not suffer damage. Your transformer is not that large so the smaller ones would work, but I would use the larger. Now... look at the rating of a switch. If it's rated 5a @ 40v, that would handle 13a @15v. That will be a guide when looking for switches.
Ok, regarding the push button to reverse trains, you need a NC (normally closed) momentary switch. Of the above rated amp. Personally, you may be better off with an old Lionel reverse switch #88C. Here's the item # on Ebay so you can see what they look like. #360367163071. Now.. Most important you check # on switch. There are switches that look the same, but the contact is opposite. Those are for activating accessories. The # on case is what you must see to get correct one.
The loco reverse unit whether old postwar or modern is triggered by interuption in power. No matter if powered by ac or dc.
Regarding dc power. I have postwar, modern, Lionel, Williams, MTH, Kline. All run & reverse well on dc.
Now... Very important to understand the whistle/horn/bell controls.
All the whistles/sounds are triggered by dc... Postwar with the old whistle relay is triggered by dc, but not sensitive to polarity, either + or- triggers equally as well.
Ok, on modern sounds with electronic controls polarity is most important. Again it's dc. Horns/whistles need + to center rail. Bell, or any other operations like coupler open that use bell button gives - to center rail. Yes, that means track power feeder wires must be on correct rail!
Now that brings us back to powering trains with dc.. Postwar will sound whistle/horn continuously. Electronic sounds will activate continuously or not at all depending on if + or - is to center rail. The train will "see" any dc as a signal to activate sounds.
Now, some of the cheapest Lionel from late postwar/early MPC was actually dc only motors. They cannot run on ac & didn't have sounds. If you run a dc motor on ac it will simply vibrate/buzz. Usally no damage. To get the modern dc can motors to run on ac there are electronics inside the loco to convert ac track power to dc motor power.
Let me restate, I've ran all my locos on dc. The ones with sounds will sound constantly or not depending on if + or - to center rail. They all ran well & reversed normally, just the sounds was the issue. (dc power can magnetize the eunit plunger over time-that can be an issue, but that's another subject).
All your trains should run well on AC. You didn't say what transformer you have. I'd like to know that.
You don't say exactly what other locos you have so I don't know how much power you need. I wonder if a good used CW80, (the later one with the G prefix) would be a good choice for your needs? They have 3 buttons on top. Reverse, whistle, bell. They have a fast acting circuit breaker with warning light. For smaller outfits they have enough power. If you get into a 2035 loco & larger the power is not really enough. A postwar LW is one of the nicer transformers. Lots of power & also has reverse button.
I've ran some small lionel on HO power packs (like the 1060). Will go, but not enough power. If you go more than the Docksider, you'll need more, much more power. Forget the HO transformer.
Very best, Don Johnson