I don't have a Z, but I believe that plate is a baffle on oil pans used to prevent total loss of oil from the lower oil pan & pickup tube when you make aggressive maneouvers and the oil swooshes to one side. It would be to your benefit to transfer it if at all possible. But hey, they released the car without a baffle on that other oil pan, right?
I can't immediately tell which O-rings you're referring to, but my guess is that they are related to the oil system. They might look fine, but it is a bear to get back in there to replace such cheap components if you start having oil pressure issues.