There is no special significance in breaking the beeswax in half, so it doesn't matter if you break it in half on the second day of the New Year's Day.
Beeswax is a variety of beeswax and amber. Opaque or semi-opaque amber is called beeswax and is often worn as an ornament (solemnly declare: the answer is for reference only, please don't be blindly superstitious).