What computer operating system? Have you updated 13 to 13.1 yet using an opened project's Help Menu/Updates.
Please give the properties of the import with audio out of sync and tell us the device that recorded it. Do you know if the device records with a variable rather than constant frame rate?
If it does, that could be the problem which can be remedied by taken the video into the free HandBrake to get the H.264.mp4 version with constant frame rate to take into the Premiere Elements project.
Please consider and give more details.