When Roger is checking the diagnostics in the cockpit, the monitor shows the 3-way diagram of a Boeing 727. But in the landing shot near the end of the episode, it shows a Boeing 737.
The distance between Los Angeles and Las Vegas is about 250 miles, which is less than an hour flight. The plane could have landed back in Las Vegas with McCarran Intl. Airport's help, instead of doing a risky smog landing at a busy LAX, or they could have tried the four other large airports around Los Angeles; John Wayne, Burbank, Long Beach and Ontario.
On the Boeing 727, the FE (Flight Engineer) panel is on the right, not the left side of the cockpit. Also, even on the 727-232ADV, there is no computer monitor on the FE panel or on the main instrument panel, let alone a touch screen. It is all analog gauges, switches and knobs.