Is it weird to buy myself a name necklace for mother's day?

It is definitely not strange or weird at all! You don't need your partner, or anyone else to give you jewelry as a gift. If there's a special piece you want to have, you can — and must — go and get it for yourself! Giving birth and raising a young child is such a special and momentous time, so why not show yourself some appreciation. It is an empowering reward as a new mom!