When Admiral Pressman removes the cover from the cloaking device, he sets it aside behind him. Shortly afterward, Riker walks over as they talk, and the cover has moved to the right about 2 feet.
Admiral Pressman says, "Well, that doesn't sound like the same man who grabbed a phaser and defended his captain twelve years ago."
Riker was not an ensign twelve years ago, having served on the ships Potemkin and Hood before serving on the Enterprise.
When Admiral Pressman described the Pegasus, he called it a prototype. When we see the ship trapped in the asteroid, the registry number is NCC-53847. A prototype would have an "X" designation, so it should have been listed as NCCX-53847.
The Pegasus is an Oberth-class starship, which has an official length of just 120 m. The Enterprise-D is a Galaxy-class starship, with an official length of just over 640 m. The Enterprise should be more than 5 times the length of the Pegasus, yet when the two ships share the screen, they are nearly the same size.
Lt. Worf's tactical station is not illuminated when Commander Riker moves to the back of the bridge to join Commander La Forge at Science Station II.
With all the action that happens in The Pegasus regarding finding the ship, where does Riker find the time to spend on the holodeck to finally make his decision to tell Captain Picard?
Towards the end of the episode, after the cloaking device has been engaged on the Enterprise, Captain Picard gives the order to "Take us out!". To which Worf replies, "Aye, sir!". Worf is at the tactical station. Piloting and maneuvering are normally assigned to the helm, where Ensign Gates is sitting.
At the conclusion of the first encounter with the Romulan ship, Worf reports that the Romulans are resuming their tachyon scans of the asteroids. The Enterprise was unaware of the Romulan ship's activities or presence until it decloaked a few moments earlier, and so could not know if they were resuming what they had been doing before the encounter.
It's not explained how there could be so many well-preserved bodies laying around about the Pegasus, with no signs of damage from being frozen, which, at temperatures approaching absolute zero, would be very significant. A hull breach would also be very damaging to the human body. Either way, the bodies would not look like they had just fallen.
Data informs Captain Picard that they would be able to restore life support power to the main engineering compartment aboard the Pegasus and seal the hull breach by extending the Enterprise's shields. Immediately following this, Admiral Pressman states that, as soon as life support has been restored, he will beam over to the Pegasus with Riker, "directly into engineering". In Star Trek canon, as has been explained numerous times before, it is impossible to beam through energy shielding. Whether shields were up around the Enterprise or simply being directed around the Pegasus' engineering section, they should not have been able to initiate transport successfully.
When Riker and Admiral Eric Pressman are talking in 10-Forward, Riker comments that he's had his beard for 4 years. With each successive season taking place the successive year, as suggested in various episode plots, Riker would have had his beard for 6 years, not 4.
When Riker, Pressman, Picard, and La Forge are discussing the Pegasus in the briefing room, and it is revealed that the Romulans are searching for its wreckage, La Forge asks, "What would the Romulans want with a 12 year old starship?" The Pegasus was destroyed 12 years prior, but that count fails to take into account how long it was in service prior to its destruction (ignoring the fact that the Pegasus was an Oberth-class ship, so its main systems were of a design nearly a century old at that point).