Hey there, there does not seem to be anything major wrong with the lifts (obviously not perfect but for this discussion they are fine). It rather appears to me that you need to get stronger. Work your press and push press hard and consistently. Practice your oly lifts and derivatives regularly and diligently. Spend some quality time upside down regularly (handstand holds will be fine for this part). Oh, and seeing as you will be increasing the stresses on your shoulders make sure you take care of your mobility and eat well.
Some ideas you could use
Burgener warm up with PVC with emphasis on active shoulder every time the pipe is overhead
Buy in’s using 5x3 squat snatch starting at ~50%
Strength work 3x3strict press followed by a max rep push press effort with the same load
Cash out with 2 mins handstand hold in as few sets as possible. Active shoulder and tight mid section will be essential cues for this
Obviously not everything every day bit one or two things every training day will be helpful