My boyfriend is mad at me

Okay, I know it's a bad way to start the new year... but like, my boyfriend and I are mad at each other. Btw, we're in a long distance relationship and obviously it's really hard.The problems started when I accused him of cheating since I noticed how he's been staying up super late on facebook for the past few days. I asked him if he was talking to other guys, but he said he isn't and assures me he's just reading the news on facebook. Again, I asked him to be honest and tell me the truth. Again, he said he isn't, but the thing is... I noticed how he pauses for a while before answering me (which might suggests he's holding something back, although this may just be over-thinking on my part).Frustrated as hell, I demanded him to give me his facebook p/w so I can go and check his messages, but he got pissed and flat-out said NO.I told him that if you have nothing to hide, why are you so hesitant to give me your facebook p/w? He then got even more pissed and begin ignoring me. I got frustrated by his uncooperative behavior, so I deactivated my facebook account. Now, he has no other way to reach me/contact me. And knowing how sensitive he is, I know he'll eventually go crazy.I should know, because one time I ignored him on facebook for 1 day and the next morning when I finally picked up his call, he broke down in tears begging me not to leave him. Although this time I deactivated my account, which is way worse than ignoring. Speaking of which (and as evil as this sounds) I kinda hope he breaks down again just to teach him a lesson. But then again... I also want him to miss me. I want to make him go batshit-crazy for me. I want him to desire me more than ever before.So, my question is, are my actions reasonable? Do I have the right to be suspicious of him for staying up late on facebook? How long should I keep my account deactivated? My goal is to make him go as crazy as possible.