Do these go well together?

I think you are onto the right idea with your comment on pennybarr's answer...

Make the veg and do a simple fast chicken paillard http://www.marthastewart.com/1052169/marthas-chick... I like to chop a little garlic, lots of parsley, mix with a little olive oil and lemon juice and spread on the chicken 10-15 minutes before cooking. You could even serve the chicken topped with the veggies.

I think your all recipes vegetable recipe will be fine with your chicken honey lemon chili chicken but I would prefer something more simple that would not overpower the flavors of the chicken. I would probably serve a spinach and bacon salad with a honey mustard dressing and/or rice pilaf.

I think so. Veggies + chicken are a gold standard! :)

Sure