Part 1: Deadlift 4×3
If you want to save it for the workout, do 3×10 light weight good mornings, focusing on hinging at the hip and posterior chain activation.
Knees to Elbows 4/8/12/16/20
Option 1: 185/125
Option 2: 135/95; hanging knee raises instead of knees to elbows
Option 1+: 225/155; ring dips 3/6/9/12/15 instead of pushups
Modify the ring dips by doing a reduced number (2/4/6/8/10) or by doing matador dips.
If your are afraid your hands might tear, do GHD or regular situps instead of knees to elbows. Talk to the trainer about an appropriate number of reps.