If your
plateletsPlatelet associated antibodies
Platelet count were low, you might get bruising, but
bruisesBone bruise
Bruise
Bruise healing - series
Muscle bruise
Skin bruise (petechiae) are generally purplish rathet than red. I'm not sure, of course, because I haven't seen your
spotsBirthmarks - pigmented
Liver spots
Measles, koplik spots - close-up
Mongolian blue spots, but if they've been there for a while (and you just didn't notice them), then they're possibly collextions of blood vessels, called angiomas, or else "clogged pores" called folliculitis. Neither is serious or requires treatment.
If the doctors who reassured you aboty the itching haven't seen these spots, or had them brought to their attention, I suggest you show the spots to them, just so you can be sure and reassured.
Best.
Dr. Rockoff