Did you use a magnet? If so, are they magnetic. If not, then it could be carbon, broken down o-ring or gasket material maybe?
To help on your quest for low oil pressure, here's the common things for that year motor that will help.
1. Oil pump pickup tube - which you have already diagnosed.
2. Valley cover o-rings that block off the oil galley towers that aren't used on a non-AFM motor. There are 8 of them I believe. They get hard and flat, and then oil sprays out under the cover (into the valley internally) thus reducing you hot oil pressure - especially at idle.
3. IF those are metallic parts, then the low oil pressure is most likely associated with bearing wear and will never improve.
A thicker weight oil may help - 10w-30 or 10w-40. You'll need to dig into what came out of the pan more. Also, change the filter and drain it into a clean pan and see what you get. Then, if you have a way to remove the top of the filter that doesn't introduce metal flakes (ie: don't use a saw) you'll have your answer inside the pleats of paper membrane.
Edit: this is assuming the year is 2007 - 2009. If newer, then it will have a VLOM that also can have oil issues that I'm not personally familiar with.