Hello, if I’ve understood you properly, you need to do a matchmoving, not stabilize. You need to:
1. Add Effect> 3D Camera Tracker to your footage (if the size of your footage doesn’t fit composition size than you need to make pre-comp>Move all attributes) >
>Shot type> Set what you need
>Horizontal angle of view> Set what you need
>Track point size>Increase (to see the rest of the crosses)
2.Move a playhead on timeline and delete flickering crosses (when the cross appears on a few frames only). In order to delete, use Ctrl+left mouse button and drag>delete
3. You need to choose the crosses that stay in their original positions longer and which are also not overlapped by other characters or items. Select this items>Right mouse button>Create camera and Null.
4. Parent your shape to Null object (But your shape must be 3d object too!)>Shift+left mouse button to Parent pick whip
5. Select all layers>make pre-comp>Move all attributes)
6. Outside the pre-comp add Time Stretch or Time-Reverse Layer or Time Remapping