When Buck first meets Thordis, our hero addresses him by name even though Thordis hasn't told him his name yet.
Buck can't see out of the windows on his left and right side of the shuttle. They are too high to be useful unless he pilots the ship standing up. He always pilots the ship sitting down. The window directly in front of him makes sense but does not appear on the front of the model; which is actually the re-used model of the Battlestar Galactica Shuttle.
When the spider web is falling on Colonel Deering and Dr. Goodfellow, Deering begins bending over before the web actually contacts her (the stunt performer is anticipating the web's falling and acting too soon).
Dr. Goodfellow tells Colonel Deering that Easter Island is "near Tahiti". Easter Island is 2,600 miles away from Tahiti.