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.

Thanks for the extra pics. Still thinking along the same line. Trim the bushes by the sidewalk to make the sidewalk more visible and accessible. If you can, replace the package with new door with clear glass or no glass and new sidelights or none. Put in a courtyard that comes out to the white wall with whatever works for you. Pavers, pavers and gravel, low decking, concrete, tile, brick. Anything. Add bench , chairs , mini trees in pots flowers. Make it welcoming. Could even add a trellis over the area. Deck could be made smaller and planting beds put in under Windows for small shrubs or flowers. Grass in the area between the ac unit and the driveway. Add a walk way from drive to the deck in material that works withe the rest. I would add pictures but don't know how.

I had a similar situation replacing a thin porch roof, the down pipes that spoilt the simple lines that the posts and flat roof had, basically down pipes just looked just looked heavy and ugly. I fitted the gutters in level as these are short anyway and don't need a fall, but left off the spouting. Then by suspending a heavy* galvanized chain from the centre of the outlet down into large buckets set into the ground, which is filled with rocks or small lumps of concrete, the water will trickle down the chain. (that is a thicker gauge, not heavy* weight). You might also want to anchor the bottom of each chain onto a lump of concrete. You don't have to anchor the bottom, but you don't want anyone to be encouraged to swing on them. Obviously you won't see the buckets, but do need something to capture the water that runs down the chain. Small holes in the buckets allow water to run out gradually. The chains will hang down straight under there own weight, the look is more 'elegant'. If you get so much rain blowing off the chain that it blows onto the posts or house, it's very likely you won't be standing outside, unless you like getting soaked.