I feel like there would be a problem if you were just given the option to skip a quest, because users who get stuck on the first pet would be skip and skip and skip until they find a pet that's easy enough for them to obtain.
If anything, the option to skip should be earned, so maybe it would be better if there was an item you could buy in the prize shop that allowed you to skip once? for maybe 20 points?
Anyways, I think skips should result in the lost of all gained points because as mentioned above, kir's quest is meant to be hard. However it might be good if you were able to stay the same level regardless of using a skip or not.
sorry if this sounds confusing and doesn't make sense because i'm really tired :U