On #3, I bet the man pages do exist, just not for openssl itself, but for each of the modules like genrsa, rsa, s_client, x509, etc.
OPENSSL(1) General Commands Manual OPENSSL(1)
NAME
openssl ? OpenSSL command line tool
SYNOPSIS
openssl command [command_opts] [command_args]
openssl list-standard-commands | list-message-digest-commands |
list-cipher-commands | list-cipher-algorithms |
list-message-digest-algorithms | list-public-key-algorithms
openssl no-command
DESCRIPTION
OpenSSL is a cryptography toolkit implementing the Transport Layer
Security (TLS v1) network protocol, as well as related cryptography
standards.