#1: This is kind of on track. I like the round, the hand, the dog but looking for more a Yin/Yang sillouette of maybe a dog, cat, bird and a fourth critter if it will fit, like a lizard.
#2; Although this was my husbands favorite, it has been done before by other veterinary clinics.
#3: Same comment for this one. It is a repeat of other vet clinic symbols.