Yeah you want to filter it pretty heavily IMO because there will be some plant matter and dead leaves floating around every now and then.
You're doing good though. PPS pro seems a bit outdated; most people make serious modifications based on their tap water and preference, but in general it shortchanges you in potassium and phosphate. This is the original recipe and what I use:
Original:
29.5 grams of K2SO4
32.5 grams of KNO3
3 grams of KH2PO4
20.5 grams of MgSO4
Micros
40 grams of CSM+B
Tweaked:
42 grams of K2SO4
28 grams of KNO3
8 grams of KH2PO4
21 grams of MgSO4
Micros
50 grams of CSM+B
Per 500 ml
Like I said, most people double up on phosphates and dose maybe 25% extra potassium and micros.
Another note, your dosing of magnesium sulfate is just to provide magnesium (duh) but if your GH is high enough (7+) you can leave it out or dose less. My water is very soft so I dose a bit extra, but will dose more like 30 grams per 500 ml when I switch to EI dosing.