Light is important and the idea of allowing natural light to flow from the kitchen into the study is a good one. We installed some glazed doors in our home for similar reasons.
If you are having a study (rather than a family room) you could consider having a run of windows and no doors at that end of the kitchen, this would allow you to put some base units and work tops all against that end and even around to where the kitchen door to the hall is.
If you must have a door from the kitchen into that room, I would suggest that the doors open into the study allowing you more useable space in your kitchen. You don't want doors busting open on top of you when cooking.
The poster who made the suggestion about the utility and WC probably doesn't understand the structural load-bearing wall.
My kitchen is quite compact so looking at your wall units I think that you have loads of storage space there without the island.