Plot hole: When the image of the warp bubble closing in on the superimposed "Enterprise" image, Dr. Crusher asked for it to be the same scale for each image. At the rate the bubble was closing in on the engineering section, it would have been destroyed LONG before the 4 minutes 15 seconds the computer gave for it to be destroyed.
Plot hole: Why would the miners send a shuttle to get Captain Picard when the Enterprise has a compliment of shuttlecraft on board? Also, how could the Enterprise engineering team (led by Lt. Commander LaForge) miss that the thruster quad on the shuttle was near failure?