After I put my family file on the iPhone, the Mac doesn't show the correct parents when I click to navigate.
This is a confirmed problem in Reunion 9.08 and 9.09.
If you are displaying parents and children in a "list" on the family card and then use the File -> iPhone -> Put Family File on iPhone menu command, the child and parent lists will become temporarily "frozen" on the Mac after your family file is transferred to the iPhone or iPod Touch.
The remedy is to simply close your family file on the Mac and then reopen it. Or, switch over to the "button" mode for the display of parents and children on the family card (on the Mac).
Your data is not damaged; this is just a display issue with the child and parent lists on the family card.
Also, the display will not freeze when you sync the changes back from the iPhone.