It seems there's more to your business setup than you've posted to be having this level of issue for trying to register for VAT. I'll guess that you are out of the UK in terms of residency and or domicile, but are the director/owner of a UK business that's either gone over the mandatory threshold to register for VAT or you're on a FLAT rate scheme or are applying for voluntary VAT status. I am speculating a bit there as it should take more than a few weeks ordinarily to register for VAT.
I've found this webpage which you may have already seenhttps://www.gov.uk/government/organisations/hm-revenue-customs/contact/vat-enquiries
I guess you could try the phone number and press them about your situation but further down the page there's a link for providing information on longer questions for an online response etc. I suspect if you try to call, they'll point you in that direction to log the issue and begin the process of them trying to help you.
4th or 5th time to register? what happened with the previous attempts?
I'm perhaps soon going to go for voluntary VAT, I have a good accountant who has excellent charges and won't want much to handle it all for me. It does sound as though you've got some lazier UK accountants if they can't or haven't sorted this for you ?
Reading your post again, are you sure you actually need to register for VAT? That said, given there's a multitude of scenario's etc, perhaps you do, but just asking!
Cheers, DtM!West London & Slough UK!