6. Indestructable. I thought originallythis just meant things couldnt die. But i need to google some more bc i think the mechanic is more complicated than that?
It can't die due to Damage or being destroyed. The card can still be exiled, sacrificed, or killed via a state based effect (ie, an Indestructible creature having it's toughness reduced to zero by spell effect). Note that a card like Touch of the Void (3 Damage to a creature, if it would die, exile it) would not deal with an indestructible creature, because it needs to "die" in order for the exile to trigger, and indestructable prevents it from dying.
7. Regenerate. Another one that seems more complicated than just paying for it to brinb it back from graveyard? Gunna have to google it too
You can pay the regeneration cost of a card at any time to set up a "regen shield" for the turn. If that creature would die (not be exiled), you remove all damage from the card, remove the card from combat if it was in combat, and tap it if it was untapped. Note that if something reduces it's toughness to zero, regenerating does nothing, as it would regenerate with zero toughness and die again due to state based effects. You can only use regen when the card is on the battlefield, not when it's in the graveyard.
8. Playing at a draft. Dunno what a card does or want to check cards. Saw people at pro tourr just grabbing them. Is that ok. Can i just touch the opponents cards?
You should always ask before you just grab cards, but yes, you are allowed to read any card in play, and can ask a judge for an oracle wording of a card if it's a foregn card or you want clarification.
9. Can i shuffle my cards after my opponent cuts them/shuffles them on me? My friend told me ots possible bit i have to ask him if he wants to shuffle or cut gain.
No. You may not shuffle your deck after your opponent has shuffled and/or cut your deck.