Getting service but install marked incomplete – stuck in support limbo

I'll keep this as brief as possible. I signed up for virgin media tv and broadband as my sky contract was due to terminate. It was installed on 17th May and all was well, or so I thought. When browsing tv I noticed my sky sports was in SD, despite my original contract documents stating HD as requested (I actually asked if 4K was included as standard when enquiring about virgin and was told yes).

I contacted webchat and was told their contract on file didn't say HD, so I mailed the agent my copy and he confirmed they will honour it, but there was a glitch in the system and could I get back in touch.

I did get back in touch, numerous times. During all these communications I discovered that virgin don't seem to think I have been installed yet, even though I have. They haven't sent me the Netflix activation email, meaning I had to cancel my Netflix account that was previously billed by sky, and they failed to inform sky of the switch, meaning I got charged a full month out-of-contract price for sky broadband (which I'm still waiting for a refund on).

In total, to try and rectify this, I have contacted web chat on 4 separate occasions, submitted 3 separate webform complaints (1 has not been looked at since the day it was submitted - 29th May, the other 2 have been incorrectly marked as resolved). I phoned once, got put on hold for an hour then cut off. I have contacted their twitter team twice who cant help, and I have emailed one of these ceo email addresses I found online.

So far I have gotten nowhere. This is so stressful and it has cut into my working life quite a bit. I'm also anxious about what happens about billing me if they don't think it's activated, then when they finally fix it are they going to whack me with a big backdated bill all at once?

Can anyone advise a definitive way of contacting someone with the common sense, communication skills and authority to fix things for me?

Sorry for the long post, thanks in advance.