You are safe
Hello and welcome to healthcaremagic
I am Dr. Kakkar. I have gone through your query and I have understood itHIV
should have direct access to the blood stream, through an open wound. An open wound is a cut which is freshly made and freshly actively bleeding. This does not mean an old healed paper cut for example. It does have to be fresh and open and bleeding for the virus to gain access into the blood stream.
Even for cuts, once a scab forms (usually within a few hours), this would no longer give access to the bloodstream, preventing HIV from entering.
Therefore you have nothing to worry about since your cuts were almost 2 days old and could not have provided direct access to the blood