Reducing noise from hardwood floors
Hardwood, especially nailed to subfloor (especially a thinner subfloor) is probably the noisiest type of flooring you can have for sound reverberations to a basement.   

Also you have a construction in your basement that is causing two echo zones, the drop ceiling and the unfinished parts.   

Going from easiest/least expensive to hardest/most expensive you can...


Staple bats in between joists - even in unfinished.   
After stapling in bats buy some longer batted sound rated insulation to sit on top of ceiling tiles.   Never blown in on ceiling tiles.   Just absolute mess.
Make sure unfinished has carpeting/rugs in most places.
Finish your ceiling (drywall).
Put carpet pad and carpet over existing hardwood.
Put down an extra 1/2" of subfloor, concrete board, and tile everything.   Note that this isn't as costly as it seems until you factor in having to redo all trim and doors in the first floor.   
Put down an extra 1/2" of subfloor and put in floating hardwood with a good pad.


The tile plus insulation/drywall the ceiling is going to be the most quiet by far.   My basement is pretty quiet except for the jumping or loud drops with floating hardwood plust insulated/finished ceiling.   If I went with a softer hardwood like cork it might be quieter but with hardwood you are not dispersing the "jumping sound" as good as tile.