After all these years, and growing up with Windows 3.1, I have seen an entire evolution of computers and software. Touch screens and large resolutions were a pipe dream just 15 years ago. Now it's the norm. Going from a Packard Bell (yes, before HP) that couldn't run 3D Ultra Mini...
If you're not getting far enough with your jump, try sprinting before hand.
You can jump on water if you tap the screen quick enough after you fall in.
Sometimes, ignoring a bad guy is a better idea than trying to kill it.