It seems your talking about the default ingame UI,its not a UI skin mod is it?
About the unit frame and buttons(quickslots right?),chat.
Those can be moved around.
depending in your key board,the U.S keyboard has it hot keyed to ctrl+\.
Pressiing CTRL+\ will enable you to move those UI elements.
If your keyboard has a different layout,look on the ingame option look at remapping the keys to see which keys are binded with.
Each resolution you have to configure it.
The UI positions are not stored in our game folder,its stored on turbines servers.
Theres a topic in LOTRO forums and basically its used for pettition
http://forums.lotro.com/showthread.php?t=45809