The launch4j log indicates the IDE is trying to use the 64 bit version of Java.
The IDE is not 64 bit compatible and requires 32 bit Java.
The log also indicates it is not able to locate the version of Java that is bundled with the IDE.
Can you verify that the Java directory is located at the location in the log file:
Check launcher: C:\Arduino\arduino-1.5.2-windows\arduino-1.5.2\java\bin\javaw.exe (n/a)