What is confusing and tedious is trying to read something which is jumbled and unclear. As for speech marks you open them when someone says something in your story and close them again when they finish. I'm sure you must already know this as virtually every piece of writing that features dialogue which you will have read will have been written that way. It's not in any way a complex issue. Here is an example from one of the parts you sent us:
Sara, your bottom is already pink. What is going on? I may as well tell you now mom. I have a steady boy friend and I love him. His name is Jake. He will be over to meet you this evening before dinner. Last night we played a game and I lost and my forfeit was 20 swats. Jake doesn't pull any punches and I'm still a little tender but I'll be fine for the ceremony. Good for you Sara, I'm glad you found a boy friend who will take you in hand when you deserve it. Your father, rest his soul, didn't spare my bottom any when I got out of hand. I'm ready Mom, please give me my swats.
Although with a little effort it's possible to decipher which character is saying what you typically end up re-reading the text as one minute you are reading the speech of one person and then without warning it's switched to someone else. Imagine how much more confusing this would be if 3 or more characters were involved in the dialog.