Hello Jack
When you select edit events in the context menu from the event case, a dialog appears. At the bottom is a check box which allows to lock the frontpanel until the event is executed (meaning the event case is finished). If you disable this case, the frontpanel is not locked, but the events are not handled before the event case is called for the next time. Therefore it should be placed in a loop. There are some examples in LabVIEW which might help.
If you want to trigger the second event when the first is not finished yet, you must create two separe event cases, each in an own loop. And the check box mentioned above must be off for both events.
I hope this helps. If not, aks again.
Greetings
shb