For some patterns it is an absolute necessity to piece it in sections and sew it together the way you say you did with the flag. That's how I pieced that kitty as well as the stars in that lil' quilt. It helps if you leave the paper on the back until you've completely finished the block, that way you can see your pattern on the wrong side of the fabric and use the lines to help you line up your seams correctly. You will get there! Keep at it you're doing a great job...I can't wait to see what you paper piece next! ;)
OH, and just another tip, most of the time when we learn to quilt we learn to press fabric to one side. When you get to the point that you have a bunch of paper pieced "blocks" that need to be sewn together to make the actual block, it helps to press those seams open. It helps reduce bulk and when you get into projects like a mariner's compass block, it will help to keep your points nice and neat and straight!