bettyblueeyes - quite a lot of stuff that you could eat there, I think!
crudités, dips and smashed avocado sounds lovely - it doesn't say that it comes with any kind of bread, which obviously you wouldn't be able to have
Tuna tataki, avocado, ponzu - sounds good
Asparagus, soft egg, miso, macadamia - I'd have the macadamias, to be honest. They are the lowest carb nut, and I doubt there will be that many of them
Wild garlic & nettle soup, goat’s curd - this would be fine too
In terms of the main courses, the grill looks like it's your best bet:
Rib-eye on the bone, bone-marrow, lemon
Halibut, yuzu hollandaise
Lobster, wild garlic, chilli
these would all be good, with the green salad or cabbage and Parmesan salad.
Then cheese (no crackers) for afters.
Hope you have a good time! It sounds lovely! and just look at all that gin!