Is it normal to keep holding on even after my boyfriend broke up with me?

I have been in a long distance relationship with a Japanese guy for two years. I was his online teacher and then he visited me in our country and we fell in love. Unfortunately, he had to go back to Japan for his work. We always talked on skype, on the phone almost everyday. We even slept together (leaving our skype on so we can wake up seeing each other). I knew that we were really in love. He planned to invite me to Japan for a few months but his work is too demanding and he has business trips almost every month as he works as a secretary of the company CEO. Most times we fought because I sometimes feel that he doesnt have time for me and I complain and nag at him. Another problem is I am a single mom. Actually it isn't a problem with him per se, but in order for us to be together, he told me that I need to find a job in Japan since cost of living there is so expensive and he also wants to have a baby with me. Two babies will be difficult to support. I have been looking for a job for 2 years now (since we planned to live together) until now, but I still havent found a job. And my boyfriend gave up from waiting and broke up with me. He told me he doesnt love me anymore. This is actually the second time that he broke up with me. He broke up with me for the same reasons. He said that he cant marry me because my situation is complicated. I am a single mom, I cant find a job in Japan and it's very difficult for us to be together. He felt pressured every time I asked him to work on my visa or to come see me. The distance has really taken a toll on our relationship. He said he needs me to be there for him physically but it's so expensive to be together and right now, I really cant afford to go to Japan and I dont want to pressure him more.

Before, when I felt like giving up, he would always tell me that even if it's sad at the moment, we shouldn't worry because we will have more happy days together in the future. We made so many future plans but now he gave up and it's all because I kept nagging, complaining and pressuring him, calling him during his work hours (which Japanese men don't like because for them, work is work), and doubting his honesty.
We still talk until now but it's because I begged him not to give up and hold on because I'll keep looking for a job. I honestly think that if I can find a job in his country, it'll be easier for us. He's really the most amazing guy and if not for the distance, I know that we will be great together. Right now, Im just too depressed and I cant stop myself from calling him many times because I need to hear his voice and tell me that we're still ok. I begged him to wait for me until I can find a job there and O'll keep looking for a job. I know it's difficult, but I think we can find solutions to our problems. I dont want another man. I only want him and I will do everything just to be with him.

What should I do? I dont want to give up now when I know that we can still be together. But I'm really going crazy and pressured with time because Im scared because although he said he will not flirt with other women and try to wait for me, I know it wont be difficult for him to find a new girl. I don't know what to do.