Certificate error from F5 virtual server

Sounds like you are passing SSL through to the server, so the server is presenting it's certificate when the client connects. Of course, with only the 'individual' certificates on the servers then that is what the user will see when they try to connect.

A few starter options:

1) Replace cert/key on all servers with new certificate for 'easysite.com'. Sounds like you want individual certs on each server when you connect directly, though.

2) Get a new certificate for 'easysite.com' and use it in a client-ssl profile on the BIGIP. Associate the client-ssl profile with the virtual server, as well as a server-ssl profile to re-encrypt traffic to the servers. In this scenario the BIGIP is terminating client SSL and presenting the easysite.com certificate to the client. By default the server-ssl profile doesn't verify the server certificate, so no changes needed on the pool members.

3) Get a new certificate for 'easysite.com', load it (and key) on all of your web servers alongside existing cert/key, and configure them to use SNI to determine which certificate to present to the client.