I'd go to a couple closet designers and email them your dimensions of the room - they'll need ceiling heights, depths from back of wall to door openings, position of any windows etc. access to attic (if needed) - you also need to do an inventory of what you want to store in your closet, like are you a shoe or handbag hound, or clothes hound, or more of a collector of fine jewellery and perfumes... You'll need to know your budget, and timeframe to completion. At 5'x5' you won't get an island, but you can go up to ceiling and maximize on specialty inserts etc. Images of amazing closet designs to inspire - from obvious high end to cost effective...good luck!

if this is your furniture, remove the leaf and make the table round. place a grouping including large plant/screen at the corner by the fridge to improve the feng shui and 'cozy' the living area. options: move the fridge to the outside wall next to the sink, leaving the window clear and fill the space with cabinet/storage. add additional cabinets to wall where fridge was.

I think a comfortable distance between the island and the counter is around 42". It seems that you have only 30" between your cook top and the counter. I might be a little too tight. The wall between the entrance and the kitchen could be 4' long instead of 6', you would then be able to move the island a foot which would give you more room between the cook top and the island. Could you switch the location of the toilet and vanity in your dad's bathroom so your enter facing a vanity instead of a toilet which is a lot nicer.

Seems weird not to incorporate it into the design -- I'm all about having things "look intentional" rather than working around them later. Like could the island have connected to this, rather than extending past it? or been L-shaped, so there's room for an extra stool, and also a wall cabinet? Anyway, hard to discuss that in the abstract without kitchen plans. I'm with miacometlady's original advice to not worry about it right now, and decide how to deal with it once the bulk of your kitchen is in place. You might find that you hardly notice it, with all the beautiful new finishes, or it might seem obvious to put some stainless or glass shelves there, or maybe simple is best and one simple hanging picture does the job. Don't stress about it until After. :)