Oh my lord he is SO CUTE! He looks a little like my Bertha, but a mini verson.
Is the one in the avatar Peach? What a doll!
What about Cedric? Shamus made me think of Harry Potter… and Cedric starts with the same sound but is just a bit different (plus Cedric is handsome and charming, which your little fellow looks to be).
But then again Cedric dies young so maybe that would make you sad?
Remus might also be cute, and almost rhymes with Shamus (sorry now I’m on a Harry Potter kick lol).
Or depending on whether Peach is named after the fruit or person, you could name him another fruit? I could see him as Kumquat.
Or maybe Sprout?
Also this isn’t anything like your other bunnies, names, but he looks like a Rocket to me. 
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The answers provided in this discussion are for general guideline purposes only. The information is not intended to diagnose or treat your pet. Seek the advice of your veterinarian or a qualified behaviorist.