David's first breakthrough in finding out what happened to Claire is spotting a street sign reflected in the windshield of an SUV she took a photo of, but when David finds the place where the photo was taken, you can see the nearest intersection is at least half a block away in the background, so there's no way such a distant street sign could have had a large enough reflection to be legible.
At 1.12.00 (and elsewhere in the movie) Aaron Paul "cocks" what seems to be a 9mm semi-automatic pistol. Semi-automatic pistols don't need to be "cocked" the way single action revolvers do -- they are by moving the slide toward the hammer, which "cocks" it automatically.
David pulls out the gun that he stole from Aleksander from a backpack while on the run in Vancouver, BC. There's no way he could've entered Canada with a firearm without a bunch of paperwork first, especially as it wasn't his gun.
When David arrived in Vancouver he arrives via rail. The rail station is in downtown Vancouver. Next scene he is shown in a cab coming over one of the bridges into downtown Vancouver. If he arrived via rail he would have no reason to take a cab downtown. He was already there.