Attic Fiberglass safety?
Considering your house was built in 2002, the white fluffy stuff is probably blown in cellulose insulation and I suspect zero danger considering the short, limited exposure. But it does have some chemical content:


  In total, the average paper content of cellulose insulation is around
  75-85%. The rest is made up of fire retardant material like boric
  acid, or ammonium sulphate.


I wouldn't want to work with it long term without some skin protection, but any gloves you're comfortable with that allow you reasonable dexterity are surely satisfactory.

The yellow "sheets" you described are likely fiberglass bats. But as far as I know, the worst case for touching those would be some irritation and itching. Possibly a rash in a worst case scenario, but for that I think you'd have to be allergic.

You're smart to wear a mask. Similarly, a few, limited exposures would most likely result in some irritated breathing for a couple days and pose no long term effects. But breathing in the fiberglass dust is your biggest danger here. Your mask is fine for one-project's worth of exposure. But if I were doing several projects up there or working around attic dust as part of my job I'd upgrade the mask to one of those face-muffler-looking-masks, something like the one pictured below.

My opinion is you'll be okay and don't need to worry. And I suspect 9 out of 10 here would probably agree with that sentiment.