I like @kelly's idea of picking a lovely fresh color of paint for the door. You can then bring it down onto the stair risers. Either a solid color to match the front door, or go wild and add some decorative elements to the risers with stencils. Or think of staining the door a great color and coordinate the stair railings and risers. I have an idea book put together for just such project that might spark some ideas for you. http://www.houzz.com/ideabooks/16700983/thumbs/Kathryn-Delany-s-Decorative-Stair-Risers

Good that the heat/air system is over the door and doesn't interfere with your decor too much. It appears the ceiling fixture to the right of the FP might indicate that the dining space is there. Put a sofa in front of the FP and two small accent chairs with it, facing each other over a round glass coffee table. Can you wall mount the TV left of the FP? I think the room is too narrow to put the TV above the FP - you'll strain your neck. If you mount it opposite the FP, a sofa and two chairs could work but will need to be small scale - try apartment-sized seating. The sofa could face the window with the chairs opposite it. You could turn to see the fire or to watch TV. Swivel chairs come in handy in such tight space.

Congrats on your new home! The entry would look up to date if you lined the underside of the porch, that white wall, and the outside of the glass wall with spaced horizontal battens. ModWood or EzyWood or something similar. You could put the hanging planters on the white wall battens and they would really brighten the entry. You could also replace the spotlight with something more elegant.

I agree with havingfun, thicken the supports and have something growing trailing up them. I didn't even notice there was a pergola until the close up. Right now it blends in too well with the house color, consider painting it a different color. I don't know your usda zone but classic climbers for a pergola include clematis, wisteria, grape https://www.houzz.com/photos/santa-ynez-valley-mediterranean-porch-santa-barbara-phvw-vp~2485412 or go for a modern look You can also hang string lights, planters or something from the beams. Also agree lighten the front door.