At 23 min in Parker is looking at the getaway van, and it puts up " duelers : Immune to spikes". A dueler is just an all season tire and they definitely would not be immune to spikes.
Hardison while saying goodbye to Parker he says "Babe, love, kisses, snuggles, other romantic verbs. The words love, kisses, and snuggles, as used in that context, are not verbs.
When the gunman takes the 2 shots at Parker he moves his arm about 40 degrees from the 1st shot to the 2nd. Also he was aiming level to the floor. When Nate sees the 2 bullet holes they are near the ceiling and within 1-2 feet of each other. They should've been much lower and very far apart.