I'm wondering if BB rows and chinups on Thursday will impact your intensity deadlifts the day after?
What type of BB rows? and are they taxing on your lower back?
I think some see the split programme as push/pull rather than upper/lower, and the deadlift is seen as a pull.
Perhaps the assistance work on Mondays and Thurdays should be more push oriented, and you can do some pulling assistance work on Tuesdays and Fridays?
I really recommend Practical Programming 3rd edition. It has a lot of programme templates.
(I am no expert, just a guy that likes to lift and read parts of practical programming and the internet).