Well, as this is the only part of this site where I can make any kind of reasonable contribution (the nickname says it all) ...
Some very basic suggestions that can be made without sending a questionnaire several pages long:
1) Your connections seems unusually slow - did you try BBC somewhere else where you have access to a faster connection?
2) Did you try a different browser to see if it works better?
3) Did you try connecting to your router via a regular LAN cable (not very likely to improve things, but you never know)
4) Maybe there are background tasks that eat up bandwidth? Those notebooks always seem to come with loads of pointless software pre-installed.
5) Windows usually installs something called QoS packet scheduler for every new network connection. There have been cases where disabling this improved things.
None of this might help but it's the first thing to look at, I guess. So please let us know, I am sure the more knowledgable folks might come with something more helpful after that.