After detecting the cellphone, one of the villains says "I have triangulated their position," but rather than a position, his display indicates a route of travel several miles long. Either the display is wrong or it is indicating where the phone has been for the past several minutes; in the latter case, the position could have been given that many minutes earlier.
Kazak tries to finish the bank transfer, even though the bomb which has already exploded, some ten feet away from the computer as established in previous shots, is causing the ship to blow up one section at a time.
When Max emerges from the shower to grab his gun, he is wet and supposedly naked, yet the waistband of his dry jeans can be seen. Thirty seconds later, after going into the hallway and using his walkie-talkie, he picks up his one pair of jeans to put on.
When the cop who takes the pizza boxes from Rosa is shot, he falls on his back. The next time we see him, when Rosa and the other two bad guys walk in, he is again on his back. The third time we see him, he is lying on his stomach.
When the bad guys first scan the hotel using infra-red, we see that Kate is in the room above the policeman on the toilet. However, when the policeman is shot several minutes later, the bullet goes through the floor and nearly hits _Max_ as he takes a shower.
If there were such a thing as a heat sensor, it would also detect hot water pipes when they had recently been used; and someone taking a cold shower would not seem to vanish, because the warm core of their body would still be detectable behind the cooled skin.
Bank names seen in the funds transfers include "Union de Banc Suisse" and "Banc de Credit," meaning "Union of Swiss Bench" and "Bench of Credit" respectively. In another bank name, "Banque Francaisse de Credit," we do see the correct French spelling of "bank," but now the French word for French has an extra S.
The whole plot rests on Kazak and his men trying to kill Kate before her court case causes them to lose the Tortuga in the divorce case she is pursuing. However, they only need a couple of days to complete the transfer, and any court case Kate was undertaking would take weeks, if not months, before there was any chance her client would be awarded the ship.
The villains detect Max's cellphone in use, but do not try to monitor his conversation on it, even though they have demonstrated the more difficult capability of monitoring conversations on a conventional phone. By monitoring the cellphone call, they could have spotted Max's deception at once.