He calls me every day but hasn't asked me out?

I met this guy last week, we went out, had a great time and kissed. Since then, he's been calling me every day, calling me baby etc but hasn't asked me out.. Every time he calls, he asks me about my plans for the night, if I say I haven't made any plans yet, he starts saying oh, shall we do this, but I am tired etc etc and nothing happens. On Thursday I said I might be going to this bar, he said I want to come because I want to see you, he called me when I was actually at the bar and said I am tired but I want to see you if I come I'll text you. He didn't. On Friday he said what are you doing tonight, I said I don't know yet, you? He said do you have any suggestions? I said I am too tired and maybe a relaxed evening? he went home and called me at midnight and I text him back that I was out. On Sunday he came back from a trip late, he called me on his way back, he was really sweet and called me when he got home but nothing about meeting up. His mum is in hospital and he is going through a rough time, but I can't imagine anyone not having one hour to see someone if interested? On Saturday he did say that he is not in a good mood lately but when he gets better he let it imply that it will be fun... What should I do? Is he playing around? He makes me feel like I have to suggest directly to him and I am used to men asking women out, especially so early in getting to know someone..