Help with java please, what a I doing wrong?

your code for task 1 is incorrect, task 1 states: Declare a String variable named bestSport and initialize it to the first element of the sports array.

you just need to index the sports array. you can index arrays like so:

arrayName[index]

where arrayName is an array and index is an integer between 0 and the length of the array - 1. array indexes start at 0, so that means the first index is 0, the second is 1, etc etc.

so if I had an array named animals and wanted to assign a variable to the 3rd element of the array I would use

String[] animals = { "Cat, "Dog", "Pig", "Cow" };
String thirdAnimal = animals[2]; // 2nd index is the 3rd element since indexes start at 0

to assign a string named best sport to the first element in the sports array you would use:

String[] sports = { "Basketball", "Baseball", "Tennis" };
String bestSport = sports[0];

for the other tasks you are almost right. you neeed to name the variable lastSport, not best sport and you need to subtract 1 from the length since indexes start at 0. if you dont subtract 1, you try and access the element at index 3 which does not exist since the only indexes are 0, 1, and 2. thats what known as going out of bounds of the array

String[] sports = { "Basketball", "Baseball", "Tennis" };
String bestSport = sports[0];
int numberOfSports = sports.length
String lastSport = sports[numberOfSports - 1]; //subtract 1 from the number of sports to avoid going out of bounds. the last element is index 2, your  numberOfSports is 3 so subtract 1.