The weird rectangle strips on the rear window could be due to damaged elements on the heated rear window .
These fine 'wires' are printed on the inside surface of the glass. If any get damaged, for instance by something in the boot scratching the glass when the tailgate is shut ,that area of glass will not heat up and demist or defrost. There could be more than one 'wire' damaged.
If it looks like one or more 'wire' is not working examine them very closely. With a magnifying glass if necessary. Any damage can be repaired with a heated window repair kit available on line or from Halfords.
They use a a variety of application techniques but are basically a paint/paste/foil that can conduct electricity. You apply it across any break in the wire to complete the electrical circuit and restore heating.
And I agree, check your cabin filter which may be damp or clogged with dirt ,reducing airflow.