When Jesse gets blood thrown over him in the parking garage, the car driving away has the license plate XXX 111. But when Steve asks at the Animal Welfare office he says it was XKP 147.
When Jesse gets splattered with the blood by the animal rights advocate, he wipes some of the blood off his lips so he doesn't accidentally ingest any of it. He is not "tasting the blood on his hand". No doctor would do this since it exposes him to any number of unknown pathogens.