My opinion, paint your kitchen any color you like. I painted ours orange, yellow and blue with white trim and love it. I figured I could always paint over it if I didn't like it.
For the back splash area, I discovered by using the accent color there, it really made the difference I wanted. Plus I had that crap paint before like you do. Now I just use a wipe and it's an easy clean.
With that crap paint, don't forget to paint your ceiling. Makes a HUGE difference.
I wouldn't paint your cabinets. Not yet. You may be surprised by once you get some other paint in there how much more you like your cabinets. After I painted, I washed down all the wood cabinets with Murphy's and discovered I actually like them now. I have given some thought though to buying handles and drawer pulls and installing them.
Window - with your window, I saw something that I wanted to do, but my window was too small, but yours would work. Across the whole length, install glass shelf brackets. Place plants, colored glass bottles, or other items in your accent color. Looks really neat, and still allows for light and the window to open. Now with my window being smaller, but in basically the same place, I switched the overhead lightening with a decorative pendant light that matched the accent paint.
I have french doors that swing out and I bought a really funky tapestry fabric to sew up a running swag across. I used a complimentary fabric and staple gun and recovered the kitchen chairs. The remanants I'm going to turn into napkins and placemats.
Oh, and your kitchen seems about the size of mine, do it in sections. I got a tad bit overwhelmed halfway through and almost quit.