Ask all sorts of questions:

問東問西

例句：

It's none of your business. Don't ask all sorts of questions.

這不關(guān)你事，別問東問西的。

Third degree:

To question somebody for a long time and in a thorough way; to use threats or violence to get information from somebody

盤問；質(zhì)問；拷問；問東問西

例句： 

Don't give me the third degree!

別老質(zhì)問我行不！

Nag someone:

嘮叨

例句： 

Stop nagging me.

別再對我嘮叨了。