Invalid Client happens for these reasons:
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You are logged into the Google Play app with your developer account. These will always fail. You must use a test account. You cannot even buy your live apps with your developer account.
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You have not setup an account with the Google Play app yet.
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You have not agreeded to the Google Play App’s license agreement yet.
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The Google Play app is failing to connect to Google’s servers.
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You’ve done too many restores in to short of a period of time and Google has brigged you for a while.
Try tapping on the Google Play app and make sure you can connect to
the store successfully and view other apps. If you need additional
instructions on testing your app, please see:
http://developer.android.com/google/play/billing/billing_testing.html#billing-testing-static