Probably you would need to separate these into two scenes on different layers. The pause will pause the entire scene director and that is why both animations stop.
If you're running version 5.1 you might be able to make use of the new multiple scene director feature, to be able to have two different scene directors running at the same time. I haven't ever tried to build something like this. You would most likely need a script to start the second scene director running. An event on the first scene director that plays the second scene director would probably be the easiest. When I have some spare time I'll see if I can figure out a simple way to do this.
#XPression