Is this a load-bearing wall between my house's entrance and dining room?
I'd say it's almost certainly load bearing for one simple reason.

You've got what appears to be a beam running over the opening from the dining room to the hallway, and you don't have one going into the kitchen.

The fact that your dining/hall opening isn't floor to ceiling suggests strongly that the beam is running across that opening, which means it's running the depth of the house.