Other mistake: Gandu 3 Echo has initials on his sleeve which read G3A. This would be fine if he was Gandu 3 Alpha, but he's not (although he should be - see the other entry relating to him). It should read G3E.
Other mistake: Starkweather Two Delta, the guy that wins the lottery in the first elevator scene, tells us he was there for 6 months. Which should have put him in the "G" (Gamma) or "J" (Juno) series instead of the Delta series.
Other mistake: When Lincoln and Jordan first enter the city, just before Jordan sees a poster of herself, in the background you can see two trains high in the air, with a skyscraper behind them. If you look carefully at the shadows cast by the two trains, one of them is completely wrong. The train that goes from left to right has its shadow trailing on its left side, and the train going from right to left has its shadow trailing on its right side. Irrespective of which direction the two trains are travelling, both their shadows should be trailing from the same side, as there is only one light source, i.e. the sun.
Chosen answer: It appears to be some sort of cable - it can be seen leading to the bracelet in the shot from above the bed immediately prior to the one where Lincoln unplugs it. Exactly what it does is never revealed, but it seems likely to be some sort of monitoring system, keeping an eye on Lincoln's health through sensors in the bracelet.
Tailkinker ★