An important one about usability:
- When the date selector is opened, the mouse over the text input should be a caret and not a hand. It would make understandable the date can be manually typed.
A less important, cosmetic one:
- When the date selector is closed, the mouse over the text of the input (e.g. "No date selected" or a date) is an arrow, while over the rest of the input the mouse is a hand. It should always be a hand.