Other mistake: Near the end of the movie, Dave Speed jumps onto Torpedo's private plane and starts steering it to the ground. The plane is white with obvious red stripes. However, Dave Speed is supposed to lose his super powers when he sees red.
Visible crew/equipment: Dave tells Evelyn to 'freeze' while he's rationalizing future marriage plans, and walks around her from the right. As he reaches her left side, the boom and a gaffer (camera guy) are visible at far left for a split second. (01:06:10)
Answer: I'm not sure this is the whole list, but I remember him having super speed, enhanced reflexes, telekinesis, precognition, and invulnerability.