Photo Elements-Crop Tool

In the Full Edit Mode there are two tools in the slot that includes the Crop Tool and Recompose Tool.

Press Shift+C to cycle the tools in that slot.

You can tell if there is more than one tool in a tool slot by the little black arrow to the lower right of the tool.

Left Click and hold on those tools to see a fly-out menu with the other tools.

Try resetting the Preferences:

Restore default preferences

Preference settings control how Photoshop Elements Editor displays images, cursors, and transparencies, saves files, uses plug‑ins and scratch disks, and so on. If the application exhibits unexpected behavior, the preferences file could be damaged. You can restore all preferences to their defaults. Note: Deleting the preferences file is an action that cannot be undone. Do one of the following: Press and hold Alt+Control+Shift (Mac: Option+Command+Shift) immediately after Photoshop Elements begins launching. Click Yes to delete the Adobe Photoshop Elements settings file. Go to Edit > Preferences (Mac: Photoshop Elements > Preferences > General), click the Reset Preferences on next launch button, and then click OK. When you restart Adobe Photoshop Elements, all preferences are reset to default settings. A new preferences file is created the next time you start Photoshop Elements Editor. For information on a specific preference option, search for the preference name in Help.

from here:

Preference file locations for Photoshop Elements and Premiere Elements