Ok, so:
a) If your EverQuest folder is outside of Program Files then you shouldn't need to run anything as an administrator. So first of all go ahead and uncheck "Run this program as an administrator" on anything that has it checked.
b) You don't want to check anything except "Run this program in compatibility mode for:" in your shortcut's Compatibility tab. Uncheck everything else. Make sure any other options are unchecked on the actual .exe file as well.
c) You shouldn't need any other shortcuts placed anywhere. All you need is one shortcut, and you can put it wherever you want. Put it on your desktop, pin it to your taskbar or start menu, etc. Any extra shortcuts or use of the Launch Titanium batch file are completely optional, and the actual Launch Titanium.bat needs to stay in your EverQuest directory to work properly, but you can create a shortcut for this if you want to. Since you're using a legit version of EQ, you might actually have a Launch Titanium.exe or something - just leave it in your EQ directory and create a shortcut for it if you need to. If you use this to launch EQ, make sure you have the Compatibility settings configured as explained in step b).
d) Now that you've successfully launched EverQuest, the client has automatically generated your eqclient.ini file, so go into your EverQuest folder and open it using Notepad. Once opened, press Control + F and search for WindowedWidth. If you're playing in windowed mode, then the first two settings are the only ones that matter: WindowedWidth and WindowedHeight. Change your eqclient.ini [VideoMode] settings so that they look like this, and then save the file:
Code:
[VideoMode]
WindowedWidth=1280
WindowedHeight=960
Width=640
Height=480
FullscreenBitsPerPixel=32
FullscreenRefreshRate=0
WidthWindowed=640
HeightWindowed=480