They should be pushed in more over the counter rather than the edge? No My lighting designer advised me to put my 6" disc LEDs centered over the edge of the counter. That way there are not shadows either on the counter as you work, or being cast onto the fronts of the lowers. Mine are spaced just about 4ft apart (center-center) and that was based on the specs for my particular lights (obtained from the manufacturer's website) and 8' ceiling, so that the "cone" or diameter of the light on the work surfaces overlapped just a bit - for even lighting. My kitchen is small, no island, so it only needed lights on two sides - the second side (with the frig and pantry, and a small cabinet with top for landing space and phone) I placed the lights away a tad more, to illuminate the cabinet interiors and center of the room more, as there isn't really a work surface on that side. I also have a small pendant over the sink, which is set in farther because I lean in farther when washing things. She also said to pay attention to whether an open cabinet upper door will block a light from illuminating the inside of the cabinet - you may have to adjust placement for that. Please do not worry about symmetry in your lighting layout! You won't be looking up at the lights to admire their symmetry, but you will notice uneven lighting!

You could put the TV by the French doors between the window and the French door there if it fits leave the couch where it is and you could put two chairs with the TV is at currently

That is good advice, thank you! In this case, it is an affordable housing footprint and design that I have limited time to make upgrades/modifications to (the building crew doesn't want to deviate much from the design they've previously built many times) ... I wish I had more time/resources to design the entire house from scratch, but I don't in this case. Playing around with window pattern like this, but maybe it would look silly from the exterior:

I need to see the space and the drawing does not really give me a feel for the space . I hate hall trees with all the eye clutter when you enter a nice closet with space to hide all the stuff is IMO much nicer but is this the family entry of for guests ? IMO from what I see you need 3 lights one above the door one in the hall leading to the LR and one in the hall thta has the bathroomand bedroom entry . IMO all the same ceiling hugger type but the one going into the LR can be a bit of a star. Or do something like this it has choices of how many lights so 2 smaller ones and a larger one for the LR entry These are from a company called bulbsquare. I have no idea about your style so just guessing and BTW I rarely like wall sconces but at least post a pic of those if you have them