Problems with pausing game

Try something like the below and see if this works. It may still register the key being pressed down when the unpause code is fired, but this is how I'd start.

1) Add a counter to your frame and name it something like "Pause Delay"
2) When pressing "P" to pause the game, set counter to something like 10.
3) Add a condition that when "Pause Delay" counter is >1, subtract 1 from counter.
4) Add a condition to the unpause code that the "Pause Delay" counter must be =0 in order to work.

Don't know if this helps:

You've grouped the events I suppose, having something like a Game Group and a Pause Group. What I've done is create an event outside the groups that toggles a flag and limited the condition to one action if the event loops. Then, in the Game Group I've made an event: Is flag on? (Deactivate Game Group and Activate Pause Group). And then in the Pause group, I've added the event is Flag off? (End Pause Group and Activate Game Group).

That does the trick for me.