First of all, you can save a word by omitting the name of the protagonist. What movie executives are looking for in a logline is a description of character -- at this stage in the process, they don't care about his/her name. So "a dishonorablly discharged soldier" is sufficient.
Second, I think you need to refocus the objective goal. As presented above, your protagonist seems to have 2 objective goals, 1] smuggle money, and 2] kill assassins. But by definition, a plot is about one objective goal -- not two or three or four.
A story can have all kinds of complications and intersecting story lines, but a logline has to be about the plot, about ONE and only ONE story line, about the ONE primary objective goal, the clothes line on which everything else hangs.
Your protagonist can be both smuggling and killing. But one has to be subordinate to, in service of the other. One goal is merely the means to the end, the objective goal of the plot. So either he has to kill the assassins in order to smuggle the money, or he has to smuggle the money in order to kill the assassins. Which one is it? What is the protagonist's primary objective goal, the clothes line on which all the other story elements hang?