The failed to register hotkey error is related to that I set win+r to show lsxcommand, and its most likely already set to run the system runbox in your personal/hotkeys.rc. You can comment out the *Hotkey line either in there or in theme.rc (which is in the directory of the theme you're currently running) to fix that.
The rainmeter.dll issue... uhm... you're supposed to pick a dll to load when it gets installed by netloadmodule, but you can do this to fix it.
1. Create a folder called rainmeter-0.13-32bit in your modules folder.
2. Get
http://www.modules.ls-universe.info/modules/rainmeter-0.13-32bit.zip
3. Copy rainmeter.dll and all the .dll files from the Plugins folder into rainmeter-0.13-32bit.
4. Find NetLoadModule.ini (probably in LiteStep/NLM/) and add this line below [NetLoadModule]
rainmeter-0.13-32bit=$litestepdir$modules\rainmeter-0.13-32bit\Rainmeter.dll
After that, just recycle or restart litestep and everything should work :)