Hello,
Random bruising and cuts may be due to anemia and deficiency of
vitamins C, K, B12, or folic acid. Try taking multivitamins for some days along with the iron and vitamin D supplements and see if the symptoms improve.
If the symptoms persist then get an evaluation done from a dermatologist.
It is very difficult to precisely confirm a diagnosis without examination and investigations and the answer is based on the medical information provided.