I know this is going to sound harsh,
but if neighbors cats are comming into your back
yard, Pandy is just doing what comes naturally to her.

When Rocky catches possums and squirrels I
get a sick feeling in my stomach and cry.
But I know it is a natural for
Rocky to do this with his high prey drive.

As for Pandy biting people this does worry me.
Depending what the circumstances are she should
have a good bite inhibitor instinct with people.
Since she is healthy I agree a behavorist would
be a good try and hopefully this will solve the problem.
(if not, she might end up hurting someone
in the future, unless you keep her away from people.)

Please keep all of us updated and good luck.