Lol Trials Challenge Heal More Than 7500 Dmg

I'm like level 4 or 5 or something right now, i've played couple of bot games and PvP games. A friend of mine told me to use mobafire or solomid for my item builds and that's what i've been doing. I've also tried to just take a random champion i've never played with and try to build items by myself without guides (I don't like reading guides while i'm playing the game so i want to learn to build items myself).
So... The champions changed this week and my first pick was Lulu. I first started as a support, getting the gold gain item, then the sightward etc. etc. Then at one point in the game, the other guy in the bot lane told me to get some damage items. So i went back to shop, and thought 'The auto attack is magic and my abilities are magic, so i need to get Ability Power items.... Right?'. So i buy the AP items and go back to my lane. Then the other guy just lol'd and told me to buy AD items instead of AP. Why? Doesn't AD increase physical damage? And not magic damage? Or are the Lulu attacks physical? It just doesn't make any sense to me. I went back to pretty much full support after that.
So my first question is pretty much that. How do i know if i should buy AD or AP items? Since apparently mages use AD items too.
My other question is, how do i know if i should buy attack speed items or critical strike or life steal or armor/magic penetration items etc. for [insert champion name here]?
And the last question is How do i know when health is more important than armor/magic resist or vice versa?

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Lol Trials Challenge Heal More Than 7500 Dmg Download

Show total damage on abilities. SecretAgentHulk (NA). With abilities like Jax's Leap Strike or Teemo's Toxic Shot, that have more than one source of damage, it is. Northrop Grumman launched its Cygnus capsule from the Virginia seashore at 3.21pm and the nearly 4-ton (8,000-pound) shipment - containing more than 7,500 pounds of science and research, crew.