I can't wait for coming spring

These days, the weather has been getting warm since February started.
But I still feel cold, so I am wearing a lot of clothes, even in the house.

Today, I wanted to get a fresh air into my room, so I tried to open the window,
but it was very frozen and it wouldn't open. Because of that, I gave up on it
and I decided to wait for the coming of spring.

2月に入ってから、暖かくなってきた。
でも、私はまだ寒いので、家の中でもたくさん服を重ね着しています。

今日、部屋の空気の入れ替えをしたくて、窓を開けようとしましたが、
凍っていて全く開きませんでした。なので、春が来るまで、待つことに
します。

[Very good.  You phrases weren't wrong - there were just better (more usual) ways to say them.]