挺好的,但应该改一下,followed by people后面都应该改一下Please close the door in case being followed by others
“随手关门” 英语的通俗说法是 Close the door behind you,后面可以把你的翻译改为 in case being followed by an unidentified stranger(= in case you were followed by …)
可以的,这样没有问题