I have a classic ASP website running on a Windows Server 2012 box. One page makes a HTTP request to another application over https using code like this:
I encountered this error a few months ago myself. Most often, this issue is caused by an invalid SSL cert. Considering that at the time of the post you had just migrated to a new server, you probably just need to reinstall the SSL certificate.
I realize this question is old, but hopefully someone else can benefit from my answer.