Need help with season program

[Aimforthehead]

Following some pseudo code, I created this program.

import java.util.Scanner;

public class Season {
	public static void main(String[] args) {
		Scanner in = new Scanner(System.in);

		// Define Classes
		int month;
		int day;
		String season = "season";

		// User input
		System.out.print("Enter a month and day: ");
		month = in.nextInt();
		day = in.nextInt();

		// Determine season
		
		if (month <= 3){
			season = "winter";
		}
				
		else if (month <= 6){
			season = "spring";
		}

		else if (month <= 9){
			season = "summer";
		}
		
		else if (month <= 12){
			season = "fall";
		}

		if (month % 3 == 0 && day >= 21)
		{
			if (season == "winter")
				season = "spring";
				}
			else if (season == "spring"){
				season = "summer";
				}
			else if (season == "summer"){
				season = "fall";
				}
			else {
				season = "winter";
				}[/b]
		
		// print
		if (month >= 13 || month < 1 || day > 31 || day <= 0) {
			System.out.println("Please enter a valid date");
		} else {
			System.out.println(season);
		}
	}
}

It appears to me to be flawless, but it apparently is flawed because the seasons in the output are almost always wrong (except for month 3, for some reason).
Are there any apparent mistakes you guys can see? I've been at this for quite a few hours and it just doesn't make sense to me...I'm sure it is something simple though.

UPDATE::
Wow that was fast, but after I decided to try one more thing, I got it to work!
I simply had the swirly brackets misplaced on last part.
changed to

if (month % 3 == 0 && day >= 21)
		{
			
			if (season == "winter") {
				season = "spring";
				}
			else if (season == "spring"){
				season = "summer";
				}
			else if (season == "summer"){
				season = "fall";
				}
			else {
				season = "winter";
				}
		}

[Fubarable]

Never compare Strings with == but instead use the equals or equalsIgnoreCase method. == checks to see if two String objects are one and the same, and you really don't care about that while equals checks if two Strings hold the same chars in the same order, and that's what's important to you.

So instead of:

if (season == "winter") {

do:

if (season.equals("winter")) {

or:

if (season.equalsIgnoreCase("winter")) {

[Aimforthehead]

Okay I will change that as well.

[Fubarable]

Wow that was fast, but after I decided to try one more thing, I got it to work!
I simply had the swirly brackets misplaced on last part.

I'm glad that you've got it working.

A good habit to get into is to enclose all if blocks, else blocks, for loops, while loops, shoot -- all loops, blocks and such, in curly braces { and }. This type of habit will save your behind many times in the future.