Please don't write all UPPERCASE, make sure to use the CODE button, and use a thread title with a real meaning.
Since you are new I have sorted some of those problems, and yo can see how much better the code looks.
Both those methods ought to be static, because they require no information from an object and don't supply information to an object. The increase size method looks all right, but I would suggest you take a second parameter: int increment. That way you can increase the size of the array by 2, 3, 4, or 183277652 members. A test for "if (increment > 0)" might help; it will prevent you creating a smaller array There are ready-made methods which allow you to copy an array, in part or whole. I won't tell you where, but will give a hint: this class.
Your sorting method appears to implement a bubble sort. I would suggest you implement a sort method and a reverse method and use both. Make both those methods static.
Your sort method appears to be using title, studio and year. What do those mean? They appear to have nothing to do with the array; get rid of them. Make sure your swap method works and takes the sort of array you have as an argument (String array) and swaps two elements. Then all you have to do is pass the array you are swapping, and the two index numbers, to your swap method and it will work.
I haven't inspected your for loops to see whether there is any risk of your going beyond the bounds of your arrays; I shall leave you to do that.