Hoyt says he thought the president knew he was an alcoholic, but in a previous episode the president offered him a drink in the Oval Office. Hoyt politely declined but never said why.
The town in Idaho is referred to as both "Elkhorn" and "Elk's Horn".
The nuclear material being transported, and subsequently subjected to a fire in a tunnel, is repeatedly described as "depleted Uranium", which has a very low radioactivity level. Depleted Uranium is what is left after extracting Uranium 235 from natural Uranium, which is mostly U-238. Any Uranium containing less than 0.72% U-235 is considered depleted.
DU is a heavy metal which is relatively harmless radiologically. It is used as shielding for armored vehicles or cases for radioactive sources. Transporting DU is a relatively low risk activity, and fire would have little effect on it.
More likely, the staff is referring to spent nuclear fuel, which is extremely high in radioactivity, and must be transported in special shielded containers, such as the one described by President Bartlet.
President Bartlet asks a teacher if she taught "Beowulf" in the original Middle English or in translation. Bartlet, an established know-it-all, would have been aware that "Beowulf" was written in Old English in the 8th century, some 200-300 years before the language had evolved into the form now known as "Middle English".
When the HUD Secretary is talking to Toby he says "If this announcement makes A17 of the Metro section I'd be surprised." The Washington Post's Metro section is actually section B and almost never has more than 10 pages.
Josh Lyman's office has a chalkboard with the names of various US Senators and Representatives. At the bottom right, Senator Biden's name is spelled Byden.
In Josh and Donna's scene following the opening credits, no glass is present where it normally is in some of the glass-and-wood partitions enclosing the staff assistants' work area; for instance, things reflected in the glass in other episodes cast no reflections in this scene. (The logistics of the tracking shots appear to require the removal of the glass.) At the end, Donna grasps a part of the wood frame in a way she couldn't have if the glass were really there.
While there is a Glenn's Ferry in rural Idaho, there is no State Route 234. Glenn's Ferry is along I-84 next to the Snake River.
There is no Route 234 in Idaho. The only major road near the Seven Devil mountains is US-95, which goes next to but not through the mountains, rendering crashing in the mountains impossible. There is also no tunnel in this area. The fictional town of Elk Horn, Idaho is located in a remote, sparsely populated region. The nearest town of over 4,000 people to the Seven Devils mountains is Lewiston, Idaho, which is 120 miles away. Most other towns in this radius have populations under 1,000. The actual nearest town to these mountains is Riggins, population 419.
Bartlet says that by shaking, not stirring, his martinis, James Bond is drinking watered down gin. Bond only drinks vodka martinis.
Toby says that Bartlet must carry "the Northeast, Pacific Coast, and Industrial Northwest" to win re-election. There is no such area as the "Industrial Northwest" - perhaps he meant "Industrial Midwest".