This is the story of the snowman 'that' (tutaj uwazalabym tego 'snowman' jako zywa osobe-wtedy 'who') saved winter.
The temperature was 'risin' (ortog) the snow, the 'snowmen' (czy mowisz tutaj o tym jednym czy generalnie) and all the 'whole winter were in danger' (tego nie rozumiem) . the snowman yelled "we will not give winter (daj tutaj slowo UP)" and he made some snowballs and started a 'now' (ortog) fight 'wit' (ortog) the spring. 'and' (nie zaczynaj nowych zdan z 'and') he succeeded.
it was 'getting' (niepotr) freezing again and 'it' THERE was a lot of snow again. (tutaj mozesz dodac...In this way, ) the snowman saved winter.