I would question Father’s Day as that is only a very recent celebration as far as I am aware (commerce cottoned on to it not existing and given the commercial success of Mother’s Day....) I don’t even remember it being a thing at school in the 70s and 80s, only Mother’s Day. It is celebrated there on 18th June. Here in Spain on 19th March.
My Dad is not a JW but my mum is and I always give my dad a card and a gift. I’ve never had any grief about it. My mum queried it as she is über JW whilst I’m a PIMO and I said it’s no more pagan than wedding anniversaries that JWs love so much.
According to The Telegraph in the UK: (link)
The idea originated in the USA and has been officially celebrated there on the third Sunday in June since 1966.
The exact origins of what we now know as Father’s Day are disputed, though we do know the movement for a day which celebrated fatherhood began roughly 100 years ago.