As for the current state of the project, being a shipmate just going around and digging for stuff that you don't know where to look for is repetitive, however it does fit the game jam theme really well. You can make the repetitiveness bearable or even fun if you can make the player more "fun" to control (e.g. less clunky movement). The cartoonish-style is OK, although more polish on the animation would also help with alleviating the repetitiveness.
It also helps to have an indication on where you have dug as to avoid spamming dig without any purpose.
Good job on the theme interpretation.