Hi Tim,
Yes, it's definitely downloaded all the emails. I hadn't thought about a test send (good thinking) but just tried that and, yes, it sent and I received it in my business email account.
It was only when you said "And you can access the website using that same password?" that I thought "oh, shoo!" (or something similar). (I've marked that as a Helpful Answer!) But I find it strange that my PC must have maintained some sort of connection with Virgin Media for a long time using the old password.
Thanks for your patience in looking into this with me.