Z axis goes in the wrong direction, so after home-all

I have finally started to work with LinuxCNC
Tried using the Mach import feature in LinuxCNC but it didn't work very well for me, but I was fortunate enough to have both systems' monitors on the same shelf side by side which resulted in a nearly working LinuxCNC system.

The LinuxCNC system is able to run the home-all routine, but I find that the Z axis goes in the wrong direction, so after home-all I need to enter a positive value (G0 Z10) to get the tool to move towards the workpiece.
This is wrong in my mind, as it should be a negative value like: G0 Z10. 

I find that the X and Y axes work as I thought, it is only Z I have problems with.
What do you think is the error?

 

I hope this will be the file that was requested
 

This is my LinuxCNC version:
 

Edit ---
This is my Mach3 version:
 
and XML file:
 


 

Will try soon, due to a stupid design of the computer box and that I was too eager in my screwing in the computer, a plastic thing on the hard disc broke.
 
Right now, the computer does not want to know about the hard disc.

Thanks for all the help so far.

I did as you wrote, however I needed to change two more things:

   

Now is ‘Home all’ works as it should.
Do you usually change directly in the INI file or is the GUI wizard the best way?
THANKS for all the help.