No, borrowing a cat for the purposes of the record is fine.
What's your cat's name?
Lots of capsules! I think we need more information though - how did you attach them to form a chain, what are the dimensions of each capsule, do they all have to be the same type of capsule?
How are you defining push-ups? As your chest isn't touching the ground on each rep, and your arm is already at an angle.