Medications

I've been trying to find information, contacted various departments in Japan but no response.

Can I take propranolol to Japan?
The wording regarding importing seems ambiguous, and I don't want to risk getting in trouble with customs.

I also want to take diazapam, citolipram and fexofenadine with me.

Can someone help me navigate this a little, I'm flying out tomorrow. I think most of these are okay but don't want to make a blunder.