BufferedImage img = ImageIO.read(new File("input.jpg")); // загружаем картинку

BufferedImage rotated = new BufferedImage(
    img.getHeight(), img.getWidth(), img.getType()
);
Graphics2D g = rotated.createGraphics();

g.rotate(Math.toRadians(90), img.getWidth() / 2, img.getHeight() / 2); // 90°
g.drawImage(img, 0, 0, null);
g.dispose();

ImageIO.write(rotated, "jpg", new File("rotated.jpg"));

GraphicsDevice[] screens =  GraphicsEnvironment.getLocalGraphicsEnvironment().getScreenDevices();

DisplayMode mode = screens[0].getDisplayMode();System.out.println(mode.getWidth() + "x" + mode.getHeight());

System.out.println(mode.getRefreshRate() + " Hz");

System.out.println(screens[0].getIDstring());