Yes, BA got hit once and Murdoch had to give him blood. Then Murdoch got shot and they had to escape from the MPs while concealing his identity. Finally Face got shot in the final episode.
There was one guy who got killed on screen. He was trying to get his daughter out of Vietnam and was killed by a Vietnamese Colonel who had a grudge against him. There were a few others killed off screen, but the A-Team never killed anyone.
They were former Green Berets, which is Army not Marines. They did go around the US, but were primarily centered around Los Angeles. They never shot anyone. My theory is that they were so skilled that they missed on purpose. The “Heavy Artillery” was usually cabbages or fireworks.
All players should wear metallic mesh uniforms similar to fencers. The ball has and has a sensor in it and the field has a similar mesh embedded. When a player goes holds the ball, their uniform is electrified. When they go down, the uniform will complete a circuit and register where the ball is.