Hi Raynefalls!
The shadowy figure, does this feel male to you? Is the "figure" on the door and the moving shadow somewhat tall and slim?
You're right to try to get the entity to move on (even the one in the house that feels "friendly). I can't tell you how many people become gravely affected by having continuous spirit presence in their home. It starts out in very subtle ways (changes in personality, depression, not getting along well, etc.)
I feel the entity in your home has a separate history from the one connected to the outside pen.
This isn't the first time that you've picked up on spirit energies. Because you are psychically open, sometimes you will attract nice and not-so-nice energies without being aware. Are you familiar with protection techniques?
Please do not attempt seances, or holy water rituals unless you are trained and prepared. If these rituals are done incorrectly and without proper protection, they can make matters worse. Most of my clients start out with one entity, hold a seance or work with an Ouija board, and then wind up with 5-12 more presences than they counted on.
Connie