Let's check some basics first, the rest does follow...
We have just rejoined Virgin Media but I'm regretting it already.
I was told my told tivi V6 box would be updated to the 360
If you're a new customer to VM (regardless of past history), then you will have a new 360 install, that's a non-negotiable unless you're TV-only in which case you get a TiVo. Yes, a V6 is the same hardware as a 360, but the software is completely different - and while existing V6 customers can choose to software-convert to 360, new customers don't get a choice. So I'm unsure what relevance your old equipment has, you should have had new kit supplied.
You've alluded to V6 functions such as thumbs-down - that is indeed a TiVo/V6 software function. 360 is not TiVo, it's completely different software with some substantial differences. Thumbs-up is one of those, among several others.
It sounds like your other issues are just the remote control pairing and also what sounds to me like a non-working internet connection?
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