Is Paid FMLA considered Paid Family Leave? Also we have Bereavement Leave which is an employer sponsored Paid Leave. Does it fit into Paid Family Leave Category?

No, unfortunately not.

https://ttlc.intuit.com/replies/5368241

Paid Family Leave (PFL) income is money you receive from your employer, an insurer, or the government while you are away from work for an extended period of time so you can recover from a serious health issue, take care of a seriously ill family member, or bond with your newborn or newly adopted child.