In Java, every variable that is an object type (i.ethat is, any thing that are notisn't a primative type such as an int, float, boolean, etc..) is initialized to null. That means unless you store something in that variable via
SomeObjectType variable = new SomeObjectType(); //or SomeObjectType variable = otherVariableThatIsNotNull; Then you will get a NPENullPointerException (NPE) whenever you call variable.anyFunction()
There may be more than one, but it looks like you have a guaranteed NPE in your WorldController class. You never give a value to your levScreen variable and you get a NPE when you call levScreen.getCurrLevel().
Either in WorldController's constructor or in the initLevel() function you need to pass in your levelScreen so that WorldController can store and access it.