Hatch day - a leaf eater tradition, like a birthday, a the date was only very roughly determined, probably by putting it near the beginning, middle or end of a season
Star day - a fast runner tradition, like the hatch day, but in this case the date was determined by positions of celestial bodies, and hence could be pinpointed with much greater precision, and preparation for the day included bathing
It appears that gift giving is not an obligation for the hatch day nor the star day, but is a separate tradition (the giving ceremony) that can, but doesn't have to, be a part of these two.
The gathering of hard-water sweets - the gathering of frozen juicy fruit on the first day of winter (or rather, the first day of freezing cold), before snowfall makes them impossible to find