Plot hole: In 1986 the only Space Camp was in Huntsville, Alabama. There's no way Kevin and Kathrine drove from Alabama to Florida to see the shuttle on the pad. They couldn't have made the drive in a single night in Kevin's Jeep and be back to Space Camp in the same night.
Plot hole: If the Bird-of-Prey went to warp speed right after the whales were beamed up the ship would have already been so far away from Earth it would have been on its way back towards the sun, yet minutes later the ship is shown leaving the Earth, still at warp speed.