When Magnum pulls up to watch the practice game between the two teams. He reaches under his seat and pulls out his 45 auto. He replaces the magazine and chambers a round. Doing this the hammer of the pistol is now in the back or firing position. Magnum then places the pistol in the back of his pants. As he usually carries it. However no one with the amount of training and knowledge of firearms like Magnum would ever carry a pistol in such a careless way.
Magnum "cocked and locked" the Government .45 pistol (he is clearly seen engaging the safety). With the redundant grip safety on these single action pistols, he was doing exactly the right motions to safely carry this handgun and have it as ready as possible for action. Tom Selleck himself is very familiar with firearms.
The ballgame Magnum, Danny and TC are watching is said to being played between the Tigers and the Twins. During the cutaway scene from Magnum's residence to TC's office, the game image on the television sets is actually shown to be a game between the Tigers and Toronto Blue Jays.
The Tigers-Blue Jays clip that TC and Danny are watching is the same clip that was used a few episodes earlier in "A Sense of Debt" when Magnum visits Detroit and is watching the Tigers-Blue Jays game from his motel room.
At 32:40, TC and Benny are delivering newspapers and TC stops and parks the van to talk to Benny. The background scenery changes behind Benny during the conversation, even though the van is at a complete standstill.