What is it?

[BufordBoone]

Yea the points and coil is a relay for ws washer pump. Look's like the housing is busted and that's why it wouldn't stay "plugged in". The white piece is actually where it plugs in.

Thanks, Jaxs and all. At least that part of the mystery is solved.

 

[Oz_Kioti]

A bit late with this, but was just annotating the photos in Photoshop:

 

[the old grind]

Two pump motors, so one each for front & rear windshield?

 

[WranglerX]

Two picture are for broken pump motor...

Motor body with armature and magnets...

End plate with brushes...