I’m using 「Xperia 10 III Lite XQ-BT44」, but I can’t select the stage and mode.
Star Rewards is selectable.
Hmmm weird, if you can see the icon, then you should be able to select the stages. Can you please let us know your game id so we can check your data?
Also, do you mind trying to reinstall the game? Please connect to a 3rd party account before you do that.