The suspect metric report does not provide a filter/search option. My suggestion would be to export the report's contents as a CSV and then filter it using a spreadsheet column value filter or a regular expression within your favorite text editor.
The report data is available to all users based on their role and their role's list of resources. For example, if you have a role and assign a resource group containing JBoss EAP resources to it, you can then in turn assign the user to the role. This user will then be able to see suspect metrics for one or more of the EAP servers available to their role, assuming a suspect metric exists.
Hope that helps,