I think they both dodged a bullet.
"Rick he had told her to meet him at the entrance to the restaurant. He waited, and waited, and checked the lobby, called her cell and left a msg, and after about 45 minutes he saw her standing there. ... she was ticked off and made no effort to hide it. Rick says he was taken aback, told her she was supposed to meet him at the entrance to the restaurant, and that he had left her a message. She said her phone petered out, and that she was about to leave when she saw him."
The mix up about where to meet sounds like a true mistake. Once she found the bar was closed, it should have been obvious that something was wrong and that would have been the time to call and find out what happened. I suppose her phone could have petered out as she was making that call, making it no ones fault. He presumably thought he was in the right place, but kept looking around and called her but go her voice-mail. I get why she was upset, but it just sounds like a series of mixups. If she was playing on here phone and ran down the battery as has been suggested, then it's bad judgement at best to be waiting for your date outside a closed bar and rather than calling, use all the charge in your phone for other things.
"So…..they sat down, and he suddenly remembered she was right………...he had told her to meet at the bar. Rick apologized." Better to have remembered earlier, but I'm not sure why apologizing at this point is bad.
"Waitress came and Rick's date was terse as she ordered a drink. Rick said to waitress “Don’t be offended, she's mad at ME.” (awkward)" He should have kept his mouth shut unless she was amazingly rude to the waitress.
"After a few minutes of chitchat, his cell phone rang and he stepped away to take an important business call. When he returned to the table, his date asked if he had been trying to arrange a backup date.
If he just got up without explanation, it's definitely rude. On the other hand, he may have said excuse me, this is work and I have to take the call, we just don't know. Her comment at the end is either a really awkward joke or suggests she is done with him anyway. I can't think of a clearer signal that this date is a disaster than being accused of taking time out to set up a backup date.
"Rick said he was so uncomfortable that he just wanted the night to end, so when waitress came to take dinner order he said he asked for the check (for the drinks). Date dropped her jaw. Rick said “It was nice meeting you” and walked her to the door." He should have told his date first, but I can see why he wasn't up for staying for dinner.
"Apparently she recharged her phone battery because she called him twice late that night (he didn't pick up)………tearful messages asking “what went wrong?”
" This to me says he dodged a bullet. How could she not know what went wrong? Tearful messages, suggests she has some issues and would be very clingy at best.