What were typical rates in the US for home phones, and how were those rates changed by WWII? How does that compare to the rates of payphones in that time?
How did telephone operators handle calls from payphones if they weren't connected to payment plans, like party lines or individual lines?
Could you make long distance calls with payphones? Did that cost more? What about just to nearby towns?
Local Exchange Service varied in price by state (and does today), while I've had a great deal of trouble tracking down historical rates for access (local exchange service) - I did find a document from the FCC [1] which has historical rates for may things , with this I found data for 1972 - if you extrapolate back from (a reasonable thing to do as the industry was heavily regulated, and rates were set based on rate of return) a monthly rate of 5.65 cents [1 - page 33] you end up with a range of 1-3 dollars a month.
Toll rates are a bit easier - ranging from .20 cents to 5.50 (1945 dollars) depending on distance for a 10 min long toll call. [1 - page 62]
Before the early 60's a local call on a payphone was a nickel, this may include any call - including the operator. As far as how billing and payment from payphone worked, you could make calls by putting coins in the pay phone, third party billing - or via collect call.
So, before the early 50's, all toll calls were operator assisted - you'd place a call to the operator, who may be able to put you thru right then - but more likely may need to phone you back when they had set up the connection to the remote city (particularly during WWII).
I'm unable to find a reference for when the first long distance charge cards appeared, but I believe it was either the late 50's or early 60's.
[1 - https://transition.fcc.gov/Bureaus/Common_Carrier/Reports/FCC-State_Link/IAD/ref97.pdf]