For 1. and 2.: concerning PDFs, there is no "on Mac" and "on iPad". Both are mere environments in which software runs. It depends entirely on which software you are using.
There is not a single PDF reader available for the iPad that supports everything Adobe Reader can do on a modern desktop. As for your "on Mac", you don't say so but I bet you are using OS X's Preview application, which is not by Adobe and also does not support any of the more advanced functions possible in PDFs.
All I can tell you is that interactive PDFs are nothing but a crapshoot on the iPad.
Well at least that's much shorter than my story ... :D
On the Mac, I tested the PDF using both Preview and Adobe Reader. Regardless of which one I use, the results are as I described. So that's not the problem, I'm afraid.