Here's a picture of it next to what appears to be honey oak floors and it looks nice:

Edgecomb Gray (Kylie M Interiors)

Definitely try a sample of it in your space and look at it on different walls at different times of day to see if you like it in your lighting with all the other elements in your space. In my lighting the paint chip tends to skew a little purple, but I haven't heard anyone else mention that. I prefer Alaskan Skies (BM-972), which is very similar to Edgecomb Gray but doesn't skew purplish to me. The guy at our paint store tried to tell me Edgecomb Gray was the same color as Alaskan Skies, just a different name (they no longer carry the Alaskan Skies paint chip in our local store), but I can definitely detect a difference.

Yes, it should look good. You can use most colors, unless they are yellow tones, with your honey oak.

If you can get a sample jar and paint a large piece of foam board, you can move the board around from place to place and observe in different light. This is my wood kitchens idea book wit both new and older, refreshed wood kitchens just for some inspiration:

https://www.houzz.com/ideabooks/75202366/list/wood-kitchens