[What am i doing wrong?]

Make sure you're using the correct methods and that the input matches the input type. You can't call 

getEquipment().isWearingItem("Bronze axe")

because there isn't a method that expects a String as its first and only input. Similarly equipment.equip() doesn't expect a String as its only input.

[g.drawString questions]

You can change the color using setColor(Color) and set the font using setFont(Font). There's a few more things you can change, but have a look through the docs yourself: https://docs.oracle.com/javase%2F7%2Fdocs%2Fapi%2F%2F/java/awt/Graphics2D.html