Is this the WordPress for Android Mobile App you are using: https://apps.wordpress.com/mobile/
Is your website hosted on your own website hosting? Is your website hosted on WordPress.com?
If BPS is blocking something in Jetpack then have you added the XML-RPC Bonus Custom Code here: http://forum.ait-pro.com/forums/topic/wordpress-xml-rpc-ddos-protection-protect-xmlrpc-php-block-xmlrpc-php-forbid-xmlrpc-php/ If you are using that XML-RPC Bonus Custom Code are you using the code that is specifically intended for Jetpack plugin users?
http://forum.ait-pro.com/forums/topic/read-me-first-free/#bps-free-general-troubleshooting
Do BPS troubleshooting step #2 and let me know if you can access your site.
2. On the Security Modes page, select the Deactivate Root Folder BulletProof Mode (Default Mode) Radio button and click the Activate|Deactivate button.