Z axis is set up standard as PgUp and PgDn keys, you can change the jog keys to anything you wish from Config menu then System HotKeys. HOWEVER aware that changing from standard may throw up issues if the keys you choose are used by other functions, so best normally to leave as they are.
Now regarding X and Y possibly moving the wrong way, they may or may not be. What you need to think about is the movement of the tool in relation to the work, if the tool is moving left to right that is the tool moving in a positive direction so it would be the right arrow key. On a gantry style machine that will mean the axis is moving in the same direction however on something like a knee mill with a moving table then that would mean the table moves right to left.
So as you can see it depends on the type of machine but if they are indeed the wrong way on your particular machine you can change them to the correct keys from the previously mentioned system hotkeys. For example click on X++ and a box will appear and you press the right arrow key, do the same for the rest and you will be set up correctly.
Hood
Hood