there seems to be something wrong with the double jump on the second screen so had to stop there ...
the second screen after you aquire the double jump - as you transition into it from the first most of the time the 2nd jump doesnt work and you cant get to the first platform ... ive only been able to do it a few times.
then further into into that level , on the 3rd platform , it doesnt give you a second jump when you jump and you just fall into the death below...
hope that makes sense ...