No, the days have been getting longer now since the first day of winter. Spring is when day and night are roughly the same (Equinox). Your point is still valid though, the peak of potential cold air is sometime in February. Takes a little while for that stored energy within Earth's atmosphere to build back up.
FYI. The Earth is not getting further away from the Sun. our particular location on Earth gets a little bit further away from the Sun between summer solstice and winter solstice. Its just the relation of the Earths axis to the Sun as the Earth orbits the Sun. Basically, on the first day of summer(in North America) the northern hemisphere is tilted toward the Sun and the southern hemisphere is tilted away from the Sun and vice versa for the first day of winter.
Easier to explain in pictures.
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