I share your views Hoop regarding computershare website logging issue. I had the same trouble logging in and after multiple attempts I did manage to enter the site. But it then kicked me out saying I answered security questions wrong multiple times and for security reasons!
There was no phone number or email to contact!
The information I wanted was dividend details for a specific company - I complained by email to the investor relations of the company concerned who then forwarded my email to computershare and I managed to get a reply from computershare with all the dividend details for the year.
I think we should involve investor relations of various companies who need to know that computershare is providing a sub-optimal service to investors.