Hi,
I think you can't do that. When you register an SSL certificate, it's issued for one domain. I talk with the experience of what I did, so it should not be correct... I think that your plesk SSL certificate is just for the server. I'm not sure that you can use it for your domain.
You may use it WITH your domains, using the "default certificate", and the users will be prompted with it.
In my case, we host some domains of website we develop, and some of them needed SSL certificates. What we did was buy one SSL certificate for each domain that needed one. We asked for additional IPs for our dedicated server, so we could add the SSL certificates with a unique IP, and also when buying the SSL, enter the company name, domain name, etc...
Hope that helps.
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