Animal and Bird idioms

Help! My mother is doing a quiz and she is stuck on the following (apparently they are all Animal or Bird idioms). I think the first might be
'Not in a Pig's Eye' and that the second may be 'Dressed as a dog's dinner' -but your help is needed, please!

N in a P E
D as a D D
H of a R
L a C in a H C
D H a D and B Y

very many thanks!
Caroline

Last one: Don't have a dog and bark yourself.

Wild guesses:

Not in a pig's eye
Dead as a do-do

Heart of a rabbit?
Hide of a rhinocerous?
Like a cat in a ...
Like a canary in a ...