Fast Search Scope and Limitations

The fast search does not seem to be searching through this field. What fields does it search through? Can this be fixed?

It is useful to be able to search through all, instantaneously.

Also, can we have an ability to constrain the fast search to the current list please?

Also, can the fields in the Advanced Search match the filed name in the currently displayed references? Or shown them in brackets (much better) or provide some other way that does not require going to the Reference Types via Options.