I don't mind the table and mirror and can't really think of anything besides art that would fit on that wall. Can't see the table details well but could it be painted? How about red to match your lovely door? What would say "fresh and cozy" to you for that space? Have you thought of a new light fixture? A runner and a larger rug in the entrance could look good. I don't find the clock visible from the door to be welcoming so I'd be tempted to remove it.

Does anyone comprehend this complete patio space yet? I don't. I only see two barely overlapping pictures, a third picture in which the camera changed position so it can't be part of the scene set, and a 4th picture that doesn't connect to any of the other pictures. Jdobbswood, all pictures must overlap and the camera must remain at ONE position for all of them (of a single scene.) Now that we see a bit more, I think you should have set one camera viewpoint as the left corner of the patio. And there should be another camera position opposite it from outside the brick wall, for a completely separate scene ... another set of pictures. It would also be helpful if you draw a to-scale base plan that includes the house wall, patio slab and brick wall.

Not a designer. Based on examples here on Houzz, it looks like she can use any chair. Even her current chairs.

IMO you need storage for sure so I would look at adding a buffet on the DR wall and with kids stools are really not practical for eating until they can get on and off a stool by themselves . Get a small round table that has a leaf and IMO when you have money redo the counters so that that peninsula is the same height as the rest of the counters in fact in this case just remove that raised part and then the DR space will be a bit bigger .You could look at Besta from Ikea to put all along that wall on the left it could give you a place for the TV some storage and even a bit of display .