Full URLs: Definitely not. Path and query parameters are part of the HTTP payload, i.e. encrypted within HTTPS.
Host names: Very likely, unless you're using SNI.
Host names: Very likely, unless you're using SNI.
I keep thinking the "e" is for "enhanced" encryption, i.e. "eSNI 2.0", but what I'm thinking of is actually called ECH (for "encrypted client hello"): https://blog.cloudflare.com/encrypted-client-hello/