1) With brand new Facebook applications, sometimes, strange things happen in the first 1-3 days. It's not fun debugging, and a lot of the time, they solve themselves (as you've seen) as your new application information is distributed across all of Facebook's servers.
2) Right now, for JomSocial, we just use the default profile type for all users. We're going to be adding type selection in an upcoming update to the JomSocial profile plugin that will work for JomSocial's built-in profile types and the JomSocial Profile Type (JSPT) add-on from JoomlaXi.
Hope that helps explain the current, and future, functionality.