Yes, after a duplicate is created, the PETs can be traded; they have their own ID in the database history, so they can be traded and transferred without any issues.
No, as of now, there hasn't been a single case of an account being blocked for using a duplicate since 2022. We receive constant feedback on this issue.
There's absolutely no difference; in every respect, these are identical pets.
No, but to ensure smooth operation, we recommend turning it off temporarily.