LWP::UserAgent on it's own can not interact with secure servers. You need to use
Crypt::SSLeay which is available from CPAN.
Crypt::SSLeay provides support for the https protocol under LWP, so that a LWP::UserAgent can make https GET & HEAD & POST requests.
From what I remember, you will also need to have either OpenSSL or SSLeay installed locally
before you try and isntall
Crypt::SSLeay.
- wil