1、铅笔盒的英文：pencil box; pencil case; pencil-case。

2、这学期我还得买新书包和铅笔盒。

This term, I also had to get a new schoolbag and pencil case.

3、给你，一个铅笔盒和一本笔记本。

Here you are, a pencil-case and a notebook.