I share your frustration, however.
1: No, but Yes, but no.
2: Yes, because that would be great because 4 v 5's are pretty unfair.
3: No, as in it's an impossibility because riot would have to go through so. many. god. damn. games. you. have. no. idea. how. much. this. happens.
4: No, there is no program that could flawlessly detect a proper afk and divy out lp accordingly.
Really, I would love to lose no/less lp because of an afk, it is simply not something that is going to happen. Games like that I tend to do this, it sucks, but you should do it too.
1: Start to learn the game, its a 4 v 5, you are now required to tryhard your ass off, you need to be thinking at the limits of each and every champ, cooldowns, calling out blown summoner spells, calling out places where you can split who can 1 v 1 or 2 v 1 or 1 v 2 who if that is possible, and yeah, you might win, you will probably lose, but you will LEARN more about the game, do this, and next time you are in a proper 5 v 5, stomp the enemy team because you are better then them and are thinking about things far better then they are.
2: Have a little fun, if your team is gonna open, go f*** around little nobody is gonna report you if your team decides to open, although I suggest following (1:) before doing this.
3: "afk" this is also a thing to do, if you are tilted only and only if your team al agrees to open, no one will blame you to afk and go do something else to untilt.