Shoulders are going to be a little fried after the last few days. Make sure you ease into the warmup and spend some time getting the shoulders feeling loose again.
The press should be really heavy for 3 reps. You should be able to do at least the first 3 sets unbroken. Aim to use the weight you used for your heavy set of 5 in Part 1. If you don’t think you can maintain that for 5-6 rounds, then scale the weight accordingly.