Recently, I'm very busy, but I will do my best in the lesson
I'm busy everyday, but I want to give it my all in the English lesson.
Do my best = 頑張る, "my bestをするぞ!"って感じ
Give it my all = 頑張る, "全力でいくぞ!"ってニュアンス
Recently, I'm very busy, but= 最近はとても忙しいが
I'm busy everyday、but= 毎日は忙しいけど
In the lesson / in the English lesson = クラスで/英語の授業で