Continuity mistake: When the Golden Eagle is shot with the crossbow by the man, It goes through it's wing. Later when MacGyver comes to try and take it out, it is in a different position on the bird. It is not through the wing anymore. (00:07:25 - 00:09:15)
Continuity mistake: While running on the mountain, the stunt double is wearing a white shirt while MacGyver is wearing a blue shirt.
Answer: Perhaps s02e13, "Soft Touch." Penny Parker (player by Teri Hatcher, who would have been 22 at the time) crashes at Mac's place. She performs singing telegrams and takes Mac's Jeep to her next job, but goes to the wrong house and sees 3 men torturing someone. She drives away and the men chase her, noting the license plate of the Jeep. Penny convinces Mac to help, but she's unable to remember which house it is. Later, the men find out where Mac lives and kidnap Penny and a Serbian (a guy from the beginning of the episode), Mac follows and he reveals the bad guys' plot to kill someone at city hall involved in a drug case. The three rush over to city hall and prevent a bomb from going off and the bad guys are captured.
Bishop73