Third one definitely had blood and fatalities. With a Konami Code you could unlock one button fatalities. Good times. Unless you had increased the time to enter a fatality and did a stage fatality on a stage without one. Then you had to wait a looooong time for the opponent to fall over.
Nintendo of America only allowed the blood in Mortal Kombat to look like sweat on the SNES. IIRC, the second game had blood though.
MK2 onwards did indeed have blood.
Third one definitely had blood and fatalities. With a Konami Code you could unlock one button fatalities. Good times. Unless you had increased the time to enter a fatality and did a stage fatality on a stage without one. Then you had to wait a looooong time for the opponent to fall over.