As Jesse said here you cant customse work period screen.
What you can do is create a custom entity screen like you have likely seen others on here causing your question.
You can make buttons for start and end work period and open drawer etc.
On the subject of this, it’s not that you cast open drawer after closing wp?
You could switch to custom navigation screen and have open drawer button there also. As well as add open drawer print job in a wp closed rule.