It seems to me that a light over the sink might be awkward in this situation. It might be " in the way" when looking toward the adjoining room. We have a light above our sink but the sink is along an outside wall with a window over it. It appears that you have plenty of ceiling lights!!

The only thing across from the sink would be my kitchen table and then my patio door. It's a townhouse so the patio just looks across the "backyard" and to the back of the neighbors kitchen. Just to get an idea of the whole area. Any thoughts help immensely.

With all due respect, you have a beautiful kitchen with nice lighting. You do not want something hanging down there if it could be mistaken as a fixture similar in any way to the one in your breakfast nook. What could look very good would be three pendant lights, but then you have the expense of the three lights and electrical wiring/connectors/labor (unless they are a single fixture with three pendants - by the way, you can find them this way). But frankly I would not invest in a lighting that you would probably leave behind some day if you sell your place, again your kitchen is great as it is. Put your $$$ into something that you can take with you to the next place. For example, an amazing lamp, piece of furniture, etc etc. Spend more on an item that you really, really love, but it can always follow you and not the house! All the best as you decide, design, and discover your best space!