My kids play in a lot of different sports leagues. Usually, they try to schedule make up games for any cancelled games, but it can't always be done due to lack of field availability or other reasons. So I would say an attempt is made, but often not all cancelled games are made up. That's true for all of their sports (baseball, soccer, basketball) no matter if the league is through the park & recs or a private organization.
As for trophies, some of the leagues provides them and some don't. For those that don't, I've never had a parent just order them and expect others to pay up (and FWIW, the parents on my kids' teams are generally very affluent). They always ask first, advise the cost and then order. We have a million trophies at this point so I would definitely rather forego them, but it's hard to say no and have my kid be the only one not receiving one when all his teammates get one.
So bottom line, I wouldn't be surprised if your rained out games don't get made up, but I think the trophy ordering without permission was a major faux paus.