While Michael is clearly seen climbing into a high-wing airplane, the next scene shows a low-wing plane, specifically a Douglas DC-3, taking off, not to mention with a completely different paint job.
When Michael is loading the gun with blanks, the blanks he is using are 50 caliber blanks, as shown on the box. But, when he shows the gun to the two men later, he states that it's a .357.
When Michael is visiting the client the third time in the kitchen you see a client cutting some carrots in half, but in the next shot they are whole again.
When Michael is driving his mother to the hospital in the stolen car, there's an obvious crack in the windshield in inside shots. From the outside, there is no crack.
Michael boards an Antonov AN-24RV aircraft, but the aircraft shown taking off is a Douglas C-117D.
For what it's worth, the correct terminology is "CIA officer," not "agent." To CIA, an agent is a recruited spy, not a full-time, official CIA field employee. Apparently either a CIA officer or a CIA agent could be called a spy. This confusing terminology probably is because the FBI calls its folks "FBI agents".
The ABA number that Michael Westen gives to his contact begins 021-001-0175 and then what may have been a 6, the final cut off by the notification of his burn notice. ABA numbers have only 9 digits.
Sharon Gless is obviously wearing a wig in this episode.
When Mike and Sam meet in Sam's high-rise apartment the view of the beach below is a photo, waves are not moving.
Madelyn says to Michael "Remember when you were six (years old) and daddy locked you in your room and wouldn't let you see the Star Wars movie..."
Michael was born in 1967, the first Star Wars movie wasn't released until 1977 when Michael was 10 years old.
When Michael gets carried out of the elevator by the warlord's henchmen the film crew and camera are reflected in the mirror in the elevator.
Michael Weston, a trained CIA operative and former special forces operator, is shown frequently holding his semiautomatic handguns in a "teacup" position. This is when the handgun's magazine well is shown to rest upon the palm of the weaker hand in an effort to steady it.
Not only is this an incorrect grip as it doesn't assist in steady the weapon when you fire it, a failure of round in the chamber could send shrapnel and heated gases through the magazine butt plate and into the shooter's hand. An experienced agent would know this and would never hold a weapon in this manner.