Krisla: Is this a new install?
I was able to recreate your error and am guessing it's a pathing error.
The installer looks in your registry for the Everquest install location and if it can't find it assumes the default which is 'C:\Program Files\Sony\Everquest II'. I noticed your install is on your 'H:' drive.
To correct this we need to add your install location into the registry:
Create a new text file and copy\paste the following into it, make sure to add your install location where I highlighted the text.
Code:
Windows Registry Editor Version 5.00
[HKEY_LOCAL_MACHINE\SOFTWARE\Microsoft\Windows\CurrentVersion\App Paths\Everquest2.exe]
@="c:\\program files\\sony\\everquest II"
"Path"="C:\\Program Files\\Sony\\Everquest II"
Save and close the file then rename it eq2Path.reg.
Now double click to enter it into your registry.
Re-run the installer.
Let me know if this fixes it.