MacGyver's opening narration says it was a Saturday. At the end, as he pulls up, Jack Dalton says it's a Sunday.
Mac sits down on the foot of the bed, and in so doing, he lands directly on top of the mine and presses down its "click" arming device, yet after Pete pulls Mac off of the bed, the mine detonates in the middle of the bed, not at the lower end where Mac had been sitting.
When Murdoc is shown removing the dynamite from his satchel, it is not wired up yet; he connects all the wires up later. Yet in one of the close-up shots of him attaching the individual dynamite bundles to the truck's undercarriage, the bundle clearly has the white/red twisted-pair blasting-wires already attached.
When Murdoc runs out of the hospital, he runs by a man standing against a building after crossing the street. Seconds later MacGyver runs by the same spot and the man against the building is gone.
In the obituary section of the newspaper clipping, the heading "In Memorium" should be "In Memoriam".
When Murdoc disconnects the truck from the trailer, he doesn't lower the dollies. Without them down the front of the trailer would have dropped to the ground throwing Pete and MacGyver around inside.
Murdoc tells MAcGyver and Pete, trapped in the truck trailer, that the sticks of dynamite are enough to take down a building and more than enough for a semi trailer, yet when the dynamite goes off, only part of the trailer is destroyed, with the majority of it remaining, not even taking any of the undercarriage with it -- where the explosives were placed. Also, the explosions obviously don't occur under the trailer.
The actual name for those "bazookas" is "LAWs" (Light Anti-tank Weapons) rockets. The most common M72A2 LAWs came prepacked with a rocket containing a 66 mm HEAT (High Explosive Anti-Tank) warhead. However, this was done as a benefit to the audience, as most people only know the name bazooka, and would have no idea what a LAW is.
Assuming the episode is set in 1987, it seems to have taken Geoffrey Stuart's obituary (May 25, 1964, printed below the one for Pete, Jack and MacGyver) an unusually long time to appear in print.
Pete says the semi trailer is sound proofed, yet we can hear the hum of the engine and outside noises.
Mac and Pete go to Jack Dalton's "apartment" where Mac is nearly blown up by a bomb under Jack's bed. There is no logical reason why Murdoc would plant a bomb under Jack's bed to kill MacGyver or even why he would even know where Jack lived.