Dr. Venkmen as Date Rapist?

Rating: 7/10 (10 November 2017)

Does anyone else find it strange that Dr. Peter Venkman, while on his first date with Dana, just happened to have on his person 300cc's of Thorazine? Dr. Venkman first arrives at Dana Barrett's apartment to find she has been imbued with the spirit of Gozer and now is calling herself the "Gate Keeper" and is awaiting the arrival of the "Key Master". There is a scene that shows her animal tendencies (floating above the bed, panting rapidly, deep and growling voice). Then the scene cuts away and returns to a phone call between Peter and Egon. Peter Venkman states that he injects her with the dosage during a phone call with Egon.
So we have to assume, since Dr. Peter Venkman did not show up with a briefcase, medical bag, or any other piece of science kit or gear, that he showed up to Dana Barrett's apartment with a syringe filled with 300cc's of Thorazine in the breast pocket of his blazer.
I could see a surgeon walking around with a set of scalpels or clamps in case he or she is called upon to perform an emergency appendectomy on the street or other minor surgeries in life or death situations, but Dr. Peter Venkman is a psychologist/parapsychologist. Walking around with a set of syringes filled with sedatives is just plain creepy.