Clothes left with grease smears

The brown substance could be iron in your water supply.
It could be a rusty bearing which they are known for.
Look inside toward the back middle of the drum.
You may see rusty spots around the center that the tub rotates on.

There are two real possibilities, both are in the washer. The first is
that the gear box seal is failing, and the second is that the fabric
softener dispenser needs to be dismantled and cleaned out.

"When the seal starts to fail, this oil floats up into the wash water
in the form of small black drops. The stains are almost impossible
to remove from clothing. Also, as the oil is leaking up, hot soapy
water is leaking down into the transmission, which will eventually
cause it to fail. As I recall, the seal wasn't difficult to replace,
but to get access to it I basically had to disassemble the whole
machine. The hardest part was pulling the agitator off the shaft - I
used a slide hammer puller. I'd start by pulling the agitator off and
see if you can access the transmission seal that way