Fair enough, not ideal but at least they replied. With Coinbase their system said I need to register a new device before I can get access to the account. Even though I have done it before I thought, fair enough this should not be a problem.
I checked my email and no confirmation link, so I tried again. After 3 attempts, I reverted to my email settings. Luckily, I have my own server setup so I turned off all spam protection. Again, no email so I then reverted to the support. I sent two emails, a week apart asking for help and I received no reply. I did wonder if it was my email address and the email was not getting through, then I spot an email from Coinbase. Success I thought, so excitedly I opened the email to find they are increasing my amount of money I can add to the account. That’s very useful when you can’t access your account!
So there does not seem to be any issue with emails getting through and I had whitelisted the domain on my server for good measure. I am now back to thinking the support is non-existent.
So, I sent another email to support and again no reply. Ok, I thought what next, I looked around and found support on their Twitter. This is the outcome.

This was done 3 weeks ago and still no reply. To say I am annoyed is an under estimation. I have to think this is not a one off so I invite you all to vent your anger with me and comment your stories and then maybe their customer service will improve because at the moment it seems missing in action.