This is something for you to discuss with your lab supervisor. Most likely s/he and/or others involved in the research have taken the window period into consideration in the use blood products in your laboratory, either by assuring that the donors had no high-risk activities for several weeks before donation; or, more likely, by testing the blood for HIV DNA by PCR, as is done routinely for all blood donations in industrialized countries. In all states in the US, and probably in all industrialzed countries, I imagine that workplace safety policies and laws demand that the risk of getting HIV in your situation is zero.
To the direct questions:
1) I doubt it.
2) Yes.
3) HIV probably survives at least 2 weeks, if the blood doesn't dry.
4) Drying immediately inactivates HIV.
I see no cause for concern here. But as I suggested, discuss and continuing uncertainties with your lab director and/or supervisor.
Best wishes-- HHH, MD
Thank you so much for your quick response. You gave me great peace of mind!