how can i search for a pet .. i have their names but the search thing doesnt seems to work ...

that search function is a bit broken, yeah. do you know the name of the owner? if so, you could type in the URL yourself like this:

subeta.net/pets/USERNAME/PETNAME

and obviously you'd replace USERNAME with the name of the user who owns the pet, and PETNAME with the name of the pet.

otherwise, there's no easy way to access the profile of a specific pet just by their name, unless you're looking for whichever pet has that as their legacy name (already had the name at the time that pet names became non-unique).