To start, they launched the Ranger from Earth on what appeared to be a Saturn rocket system, yet it is clearly shown later that the ship is capable of reaching escape velocity on its own. This is more continuity than science, but...
Next, we reach the wormhole. All seems great until they aproach the hole and it has a sort of skin showing the other side, while in fact you should see directly. When they pass through the edge, they have an odd period of uncontrolled flight as they pass through some sort of tunnel to the other side, even though they just correctly explained that a wormhole is a direct spherical aperture between two areas in space.
Next, they park at the L2 of the planet-blackhole system and make a trip to the plant because the time gradient is so strong that entering low orbit would be catestrophic. I question how such a planet is not volcanic with such forces at play and even be a candidate planet...
Next, we have the unexplained firey explosion from the airlock, then carnage followed by a redicuously rapid descent into the atmosphere which is then all-the-sudden a descent into the blackhole, which if it was actually a threat, the main ship would have been again parked at L2 and not been close to atmosphere at all (and if L2 is that close, again, gravitational forces, lava, and candidacy...)
Next, we have a lot of nonsense after passing the event horizon of a black hole
Finally, we have the hero embarking on what's sure to be a multi-year journey in what appears to be a fighter craft...