Degas should take part in the horse race, but please please please don't make me think about details? I'd much rather it be summarized as something like "Degas also took part in the horse race" accompanied possibly by "and lost to his sister." Since he mentioned wanting to race Eodwine (and lose), and I didn't specify which race, Degas should also be signed up for the foot race (which he wouldn't come in last in, but most likely wouldn't win). Also he'd let himself be talked into wrestling and the sword fight. Wrestling he could hold his own in, but all other things being equal, he'd lose to a bigger opponent. And he's lanky, so even compact Nain could take him due to low center of gravity.
There's a good chance he could win the sword fights, but I really don't care whether or not it's written extensively.
The only games I have inclination to write in detail about are Degas running the three-legged race with Leodhern, and the riddle game. For the rest that I mentioned, feel free to include him for the sake of numbers and amusement, but I'm not all that invested in them, to be honest.
Also, I feel bad about not volunteering to be a caretaker, but with classes just starting again, I don't want to overextend myself before I know exactly what to expect.