Can you set up a camcorder outside your house, facing the woods? Those noises sound extremely weird.
As for your father, I have a feeling he's there to counteract the other forces. From what I understand, he didn't pass away in the house, though of course, he has an emotional attachment to it and, of course, to your mother. Even with the weirdness abounding, it doesn't sound like the other entities have caused harm to anyone. Fear, yes, but no physical harm - and one of them even alerted you and your father to your mother's state of health.
Grief does weird things. Very weird things. It causes you to think things you wouldn't think, under any other circumstances.