During the final fight in Main Mission, Victor grabs Alan from behind and tries to restrain him. Two shots later, Victor is nowhere to be seen and Alan is slugging it out with Paul. Two shots after that, Victor is again restraining Alan in exactly the same position they were in previously.
When Carter is trying to lower the bomb onto the surface of the asteroid, one attempt he drops it and the grappler arm pops off then back on.
Alan Carter has difficulty releasing the bomb from the grapple on his Eagle Transporter. But it has been revealed in other episodes that the Eagles can jettison their passenger / service modules. The bomb, attached to the undercarriage of the module, would have then fallen away and the Eagle itself would have been freed. (Note: Carter's Eagle having a transporter pod was a plot device; otherwise Koenig would've been unable to dock with Carter's ship later).