Here's my take.
Friend wasn't annoyed at all the messages, or email rather than telephone. He was feeling guilty that he wasn't doing you the favour, when you were doing him one, and probably because he just didn't want to. Nothing wrong with that, but it made hime feel guilty.
That's why the stream of suggestions for others who could do it, even though you know they're unsuitale choices. They weren't real suggestions, they were distractors. "How about him, or her, or her - I'm not the only one who can do it - there's all these other options - don't look at me!'
I think countering his excuse of the expensive tickets with a solution of paying for the tickets was completely reasonable - he sounded regretful and like that was the only reason, after all. And if it had been, then all would have worked out perfectly.
I don't see where the OP was expecting the favour done in return, just that she's asked, which is fine, in my opinion. I can also understand the friend's point of view, though. If I just didn't want to do the favour, I'd feel pretty guilty, knowing that you were doing me one. That's why he kept bringing it up - he was feeling guilty.
Changing plans for being picked up is also annoying, because you probably had things you would have done this morning, but you cleared your schedule to do this job. Even if not doing the job now leaves the time free, it's still disconcerting to have plans changed like that. And if you refused the chance to do other things you woud have preferred to do, and now it's too late - that's super annoying.
Plus you sound annoyed at your friend's cutesy language. I am too!