Thank you for giving it a shot and the feedback. No worries I made some poor design choices with the first level which has prevented a lot from getting through and trying out the other areas. If you would decide to try again here is how to complete the first level:
The second false wall which contains the boots for double jump is down in the last pit close to the locked gate behind a false wall on the right side (jump from lowest stone pillar sticking out from left side of pit). Once you have the boots backtrack past the cave ceiling then double jump on top.