In the opening scene the hostess of the party is yelling at everyone to leave the passed out drunk girl alone. She's hasn't touched the girls body yet but blood is shown on her hands already, as she's waving people out of the room.
The syringe Tinta used to inject an air bubble into his jugular vein wasn't nearly big enough to cause a fatal air embolism. Fatal air embolisms are very rare when dealing intravenous access and are virtually impossible with standard sized syringes, Tinta appeared to have a standard 10 mL syringe. It would take at least 100 mL of air injected very quickly to cause a fatal embolism.
Each slide of the "Lay List" document, supposedly documenting a different sexual encounter as the photo and thermometer graphic change, nonetheless has the same exact text on it.