1. No, Gosho said in a postcard, that Date is not Scotch.
2. From his subordinates in Nagano, maybe even from Kansuke directly. Kansuke and Yui both more or less directly say in the Red Wall Case, that they think that Conan is the brain behind Sleeping Kogoro. Note, that this doesn't mean that they know about the method Conan uses to make the Sleeping Kogoro happen nor do they know or think about Conan being Shinichi.