When Data reports that "The warp field has collapsed", the screen behind him shows the warp field doing just fine.
The 24th century seems to use the metric system exclusively. They use Celsius and meters throughout the whole series. However, Dr. Crusher says, in the senior staff meeting, that "We'll collapse into nothing but a few pounds of chemicals", but the metric unit for mass is the kilogram.
However, the use of the word 'pounds' may be nothing more than a colloquial archaism, similar to Americans still referring to cents as 'pennies' even although that coin became technically obsolete when the USA moved to dollars and cents in 1792.
When the Enterprise starts to go to warp and the engines cut out, they should not have stopped. Inertia would have kept them moving forward at their non-warp speed.
This is incorrect. The warp drive does not push the ship like the reactive thrust of conventional rocket motors. It warps space ahead of the ship and that displaces the ship in space. When the warp field collapses, so does that displacement and the ship stops moving.
When Data is dreaming in the opening sequence, and the workmen rip his left arm off, you can clearly see Brent Spiner's real left arm tucked away inside the front of his uniform.
It was clear that the Enterprise needed to be fixed as soon as possible. After Data put the engines offline and Geordi told the captain that he needed a couple of hours to reconstruct the plasma conduits, Data is in his quarters again. Data does not need rest, and yet he is watching his cat Spot like he has nothing else to do. His priorities at that moment should be the repairs of the engine/ship.