Hello, my suggestion is to reduce mobilizing your knee. Stop keeping ice. Keep leg in elevated position above a pillow. A simple bruise doesnt suggest a nutrient deficiency.
Take vitamin b complex supplements, it will help in healing. Hope i have answered your queries. Thank you, have a nice day

The purplish bump on your knee is due to heamtoma( blood collection) following trauma. Donot puncture the bump to drain the clot if its small it wll cause infection, just leave it alone it will dissolve on its own. If its big then it should be drained to prevent infection.
Easy bruising or bleed like during brushing or minor injury should be looked for, if so then you should be checked for any bleeding disorders.
Vitamin A, C, E are commonly involved in healing take lots of green leafy vegetables , carrot, fruits and milk. Milk also contains calcuim which helps in clotting.