As the others have already said, this jacket will not be enough. The temperature ranges you cite do not reflect the fact that temperatures routinely go below zero at night, and in presence of strong winds and high humidity (especially in coastal regions), the FeelsLike® temperatures would be 5-10 degrees lower. For this reason, I'd look for a wind-proof jacket, even if it is not as thick -- it will certainly be lighter and easier to pack. It's ideal for snow-less environment, and will serve you well even if temperatures fall slightly below zero.
At any rate, after some years spent in Northern Europe, the most important item for me is a large warm scarf -- something like this:
![enter image description here][1]
Because of its exceptionally large area (mine is probably around 3m x 20cm, 100% acrylic, and certainly not the largest available), you can wrap it up very well around your neck, and even the lower part of the face, if necessary, and it keeps you warm and prevents cold air from sneaking in your coat/jacket. From personal experience, this thing reduced the rate at which I get colds or other cold-related respiratory conditions.
You can also wrap the scarf around your face, but you probably wouldn't want to do that except in dire circumstances, as it will attract some questionable looks from the locals.
Finally, this accessory is certainly a welcome addition to any fashionista's wardrobe, and you'll notice that a lot of people are wearing them. [1]: https://i.sstatic.net/FucEG.jpg
