First of all, thank you so much for taking the time to search for a place to give feedback and for the level of detail!
I think all of the mobile criticisms are completely valid. I am currently working on a mobile app for both iOS and Android that my site can link to as I don't think the web hosting lends itself to good gameplay on mobile. I am hoping to have the first version published early next year!
Indicators for the ball, the hole, and aim line are a great idea and I will see what I can do to get that updated immediately. Those and a mute button will probably be up this week.
The scorecard is global stats for that day. There is a new 3 hole course every day of the year so the stats update daily. I think I will do a little "about" write-up to explain the mechanics and setup so that these questions have an answer somewhere on the page!
Thank you again and I will probably send you a message when I make some of these updates!