You don't say how well you know your friend  but I would guess you have a sense as to whether or not they have or are at high for HIV or hepatitis B or C.  I suspect they are not and even if you are unsure, there is a less than 1% chance that they have any of these infections for a variety of reasons.  Persons who stick themselves with a hollow-point needle contaminated with blood from an untreated infected person also have a less than 1% chance of getting infected.  Your risk is even lower since the lancet you used was new and the only chance of contamination comes from the lancet cap. Considering all of these factors there is virtually no meaningful risk of your getting HIV or hepatitis B or C from the events you describe is less than 0.01% - in other words, there is a more than 99.99% chance that you were NOT infected with any of the viruses you list from the events you describe.  I would not worry and would not bother to test if I were you.  

Pleas edo not reuse your equipment going forward but I also would not worry about the events you describe.  EWH