1. A recording and reproducing apparatus comprising: an imaging module for capturing image data on each scene, a recording unit for recording said captured image data into a recording medium, a face recognizing execution unit for executing a face recognizing process on said captured image data before recording into said recording medium, a reproducing unit for reproducing said image data from said recording medium; a display unit for displaying a list of face thumbnail images of persons registered beforehand by a user based upon said image data captured by said imaging module and executed by said face recognizing process by said face recognizing unit in a person registering mode in which a person image is captured and registered; a specific person setting unit for setting as a specific person, a person corresponding to a face thumbnail image selected by a user from said displayed list of face thumbnail images; an importance level setting unit for setting an importance level of said recorded image data which include said specific person set by the specific person setting unit; and a control unit for controlling said reproducing unit so as to reproduce said recorded image data which include said specific person by using 1 st mode and 2 nd mode, wherein said importance level of said recorded image data is set to high level or low level, reproduced time of 1 st mode is shorter than one of 2 nd mode, at 1 st mode said reproducing unit reproduces said recorded image data of high level, and at 2 nd mode said reproducing unit reproduces said recorded image data of both high level and low level.