Use the OS X utility program Font Book to manage fonts on the system. I think that Mathematica only installs its own fonts, which do not include the ones you mention. They all have "Mathematica" in their font name.
If you feel comfortable with the process, you might have to poke around in the library folders on your old Mac to find the appropriate font files, copy them, and install them on the new. You may have installed these fonts at some time on your old computer, or an app that you installed installed them for you. You may have the font files stored elsewhere on your hard drive. I haven't tried this, but you might be able to use Migration Assistant to transfer only the fonts from your old system to the new.