@Kimberly J,
You're on the right track.
While you've not given us a ceiling height nor details on materials/finishes (all affect lighting design) please consider the following:
• Depending on actual pendant choices, your island could handle 3 smaller pendants & your peninsula could handle 1-2 pendants. These might all be complimentary to the pendant style you choose to hang over the table.
• Lighting for sink wall & art wall could all be controlled together via dimmer.
• Lights for island & for peninsula should be controlled separately, dimmers. Maybe locate the island's pendants dimmer on the island itself.
• Before choosing actual recessed light size & final layout, think about the quantity & quality of the light it produces. The Lithonia Wafer LED comes 3", 4" or 6", and the Philips SlimSurface LED comes from 4" to 7". Each is available round or square, and in a few different color temperatures. I suggest using LEDs that are 2700k (a warmer white light like incandescent bulbs).
I suggest the attached image for a possible layout. Less recessed lighting than the original.
Please post pics when the project is completed.
Q
Good info on recessed lighting
Q