As Sawyer makes his escape from the temple, he holds a SIG Sauer pistol. But after he says "Don't try to follow me," he's holding a Glock.
When Jack inspects Sayid's gunshot wound, the wound is on the left side of his body, on his thorax. However, when in The Incident: Part 1 (2009) he was shot on the right side of his abdomen, near the liver.
32 minutes in - Kate and Sawyer are talking on a dock looking across the water. Kate says, "That was your house, right? With Juliet." The Dharma housing compound is located inland away from the ocean and has never been shown or talked of being around any lake, pond, water, etc.
When Sayid talks to Miles and Jack brings the pill, Naveen Andrews' British accent trickles through a few times.
Kate closes the taxi door with her left hand while her right hand is visible on top of the steering wheel, whilst still handcuffed. She would not have been able to reach the door.
As Kate enters the abandoned Dharma house and walks down the hallway, the camera operator's shadow is visible.
What Dogen does after Jack swallows the pill appears to be a Heimlich maneuver, which cannot be used to extract something from the gullet. Making him vomit would have been more likely to work.