So I did my first liver flush last night--really simple to do with amazing results.
It looks like you did it right! With all the cleansing you've done recently, the apple juice might not make a big difference.
I'd suggest you do a colon cleanse within the next couple days (oxy powder is fine). You may know this already, but for other's benefit, intrahepatic stones come out of the liver as opposed to gall stones that come out of the gall bladder. You may have gotten some gall stones out as well, but you certainly got some out of your liver. There are different kinds of intrahepatic stones. Some are made up of different toxins, and some are calcium. The only stones that show up on x-rays are the calcium variety. They are all surrounded by cholesterol. The liver does this so that the toxins aren't re-digested as the stones leave the body. Sometimes they can get caught in the digestive track, and if that happens they'll be re-digested and the toxins will be back in circulation through your body. A colon cleanse will prevent that.
Tomorrow, you will probably have more energy than you've experienced in a long time. Your food will be digested better, and you'll take in a lot more nutrients than you normally do. The liver has over 500 functions, and they will all work better after a cleanse. This will last at least a few days, until more stones try to come out and clog up the bile ducts again (but you'll still feel at least a little better than you did before the cleanse). Just remember that feeling... when you're done with liver cleansing and all the stones are out of your system, that feeling will be permanent.
Every 2 weeks is pretty aggressive, but if it works for you, go for it. After every 2-3 liver cleanses, it's recommended to do a kidney cleanse, but you might not need it as often because the master cleanse does a pretty thorough kidney cleanse. I wouldn't put a limit on the number of liver cleanses you do. Some people need a lot more than 9, and some people need less. Most people just keep doing them until you have 2 in a row without any stones. Even when you're done you'll probably want to do a maintenance cleanse once or twice a year, depending on what you put in your body.
It doesn't hurt anything cleansing on a full moon, it just usually isn't very effective. The best time to cleanse is on a new moon. I don't know the exact reasons for it, except that the human body has cycles that relate to the moon. There's probably some evolutionary reason for it from back in the hunter/gatherer days.
I think the whole function of creating stones, which then get flushed out with bile is probably also an evolutionary remnant of hunter/gatherer days. A person takes in some kind of toxin. The liver takes the toxins and surrounds it with cholesterol so the toxins don't damage organs. The person goes without meat for a while, and the bile builds up. The person gets some meat, and has a big fatty meal. The toxins leave the body from the bile release. The reason it doesn't work quite like that these days is because there's a constant supply of food, as well as a constant supply of toxins, so the stones get stuck like a log jam.
So could you feel the stones moving out of your liver? I always can, and it's the strangest feeling, like a procession of little marbles moving through your body. The morning after a cleanse, I always get very emotional, and I don't mean I get all sad, I mean I have very strong emotions shifting from bliss to hate and everything between. It's almost like the stones are past emotions that I'm letting go of. I don't know, just an observation.