I think you are being too clingy and too possessive with this guy. Who are you to tell anyone they can't be friends or go out with people of the opposite sex? And to blow up someone's phone while they're at work leaving harassing and threatening voicemails? Most apps keep people online when they're really not. My FB stays lit up as online all day and all night long, doesn't mean I'm online or using it. You're asking him to be 110% devoted to you when you've only been dating for two months...that takes time and respect, and you haven't earned that. I'd cool your heels while you get over your ex, you're placing irrational expectations on a rebound guy that sounds like you're not relatively interested in.