The first time Mr. Terry "throws" Malloy when Malloy first enters the house, Malloy is facing forward in his trajectory. In the next shot when Malloy lands against the fireplace, he is facing in the opposite direction.
After following the trail of records, when they knocked on the door of the thieves residence, both officers stood directly in front of the door. Especially when trailing a criminal, you don't stand directly in front of a door due to the potential of being shot through the door.
Reed and Malloy use their car doors for cover in the bank robbery shootout which would be ineffective in stopping bullets. Malloy should have parked in such a way as to utilize as much of the car body and engine block for cover.
A 1970 Plymouth Belvedere patrol car is used in the bank robbery getaway scene. This car was not actually used by the LAPD.
When the doctor asked Malloy why he didn't use his baton, he relied he "left them in the car". Police utilize what is called a "Ladder of Force" which is dictated by the suspect. Typically that authorized force is physical presence, hands on/restraints/handcuffs, chemical spray, impact weapon, then finally deadly force; this is based on today's equipped officers. Reed and Malloys only available ladder is physical presence, hands on/restraints/handcuffs, impact weapon, then deadly force. By leaving one piece of available tools in the car on a warrant call where force may be needed would be a serious breach of protocol where the only available "ladder rung" up from physical force is to draw their weapon.
When Mrs. Terry is hitting Mr. Terry in the head, the sound doesn't match and doesn't sound like a fist hitting flesh.
On the car closeups, the camera mount can be seen reflected in the windshield on Reed's closeups.