Hello, Peter.
I am sorry for any inconvenience caused. Please check if AVG Secure VPN is connected to a location from outside UK when you are trying to access the BBC TV and change it to UK. Regarding the emails, please click on this link http://support.avg.com/SupportArticleView?urlname=Troubleshoot-Secure-VPN-email for recommended settings to send and receive emails without issues using AVG Secure VPN.