I recently encountered a problem printing parts that require support material.
Process settings are as following:
Machine: 3DP1000
Material: 3mm black PLA
Layer thickness: 0.25mm
Infill density: 15%
Model: rook

click on image to enlarge
For some reason even with 15-degree maximum overhang setting Simplify3D didn't generate any supports and printed rook looked like this:

click on image to enlarge
Settings used for this print were:

click on image to enlarge
Generating automatic supports resulted in a funny looking collar around the neck of the rook like so:

click on image to enlarge
I had to manually place support structures around the piece like so:

click on image to enlarge
Unfortunately, even after this final result didn't look much better.

click on image to enlarge
As you can see it starts quite nice at the bottom, but further it goes the messier it becomes.
It is my first time I come across an issue where automatic settings couldn't handle simple design like this. I have a few settings in mind I can potentially play with, i.e. infill density can be increased and layer height can be decreased, but my biggest confusion is why with such overhang supports were not generated? And why even with the manual supports result is almost the same as it was without supports?
Any advise will be much appreciated.
Thanks,
Alex