‎‎‎‎Which one is more commonly used 1 or 2?
1 stationary department
2 stationary counter 用 英語 (美國) 要怎麼說？

查看翻譯

They are not the same.
Compared to a department, a counter is a much smaller area --> the size of a counter to be exact. So one really can't say which is more common.

For example, within a department store makeup department, there is a Shiseido counter, a Kotoshina counter, an Estee Lauder counter, etc.