Anyone that uses self signed certificates OR where the certificate authority is not trusted by the browser, will hit many errors.
If you are using a wild card certificate, you have to ensure that it is assigned to the individual applications that require it and that the domain matches ... wildcard being *.domain.com and then can be assigned to anything that matches that DNS/FQDN domain.
The vSphere web client is not controlled by vCloud. it's a cert on its own, and is also stored in the lookup service.
There is a tool to help you through the steps:
vCenter Certificate Automation Tool – Now Available | VMware vSphere Blog - VMware Blogs
VMware KB: Deploying and using the SSL Certificate Automation Tool
kb.vmware.com/kb/2041600
What you want to do is disable vSphere SSO in vcloud, and unregister it from the lookup service.
Replace certificates as required ... then register and enable it again.