During Trish's attack in her apartment, you can see a pillow under her head when Jessica yells to the police officer "You killed her!" In the next moment, there is no pillow.
You cannot buy hard liquor (Whiskey) in a bodega in NYC like Jessica does in the beginning. Only liquor stores.
When NYPD Officer Simpson draws his pistol, a Glock 19, on Jessica at Trish Walker's apartment, there is the sound of the hammer being cocked back. However, the Glock 19 has no external hammer, so it could not possibly make that sound.