Version 1.1 of this library specified the Parse keys in a Parse.Initialize method. This method no longer exists in version 1.2 and later. This is because it it was called from within an Activity, but if Android killed your process and then tried to restart the Parse Service this failed because the service started without the activity being created and so was not initialised correctly. Initialisation now occurs on Application creation and requires the library Application class name to be registered in the manifest and the Parse keys to be specified as an xml resource. When the application is loaded you will see the values in the xml file echoed to the filtered logs.
You also need to place a file called res.xml in your project Objects/res/xml folder and make it read-only. The xml folder does not exist in the project archive but will be created at your first compile. The contents of res.xml should specify your Parse keys as follows :
<!--?xml version="1.0" encoding="utf-8"?-->
<data>
<data1 value="YourParseApplicationAppID" />
<data2 value="YourParseApplicationClientKey" />
</data>