How many times a day can you play? I've only sent my score in once and it now says I've already played one time today and I can't send in any more scores.

I got that too, but I cleared it after sending my score the first time, clicked send again and advanced to the next plot step. So while you might not get any sP, you can still move on with the plot if you've already sent your score.

I tried that, went back to Connor and was still stuck with the rowboat race game. Doesn't look like it's letting me move on to the next bit of the plot. :(

Did you get all the way through? I'm not sure if you have to but I did before I went back to talk to him again

No, I didn't manage to get all the way through. It's going to be one of those games which are impossible for me so looks like I'm not going to get any further in this plot. :(

Are you only allowed to send a score in once a day?

I'll try again tomorrow. Thank you both.