Hello seibermaki, and welcome to the forums! I am under the impression that you are new to the SWM forums, so please forgive me if I am incorrect.
Well, here it goes:
#1. With Greater Mobile Attack (GMA), you can move and still make the use of Double Attack, Triple Attack, etc. You are allowed to do these attacks before, after, or in the middle of your movement; but you must resolve ALL attacks when you start shooting/swinging. You cannot move, shoot, move, and then shoot again.
#2. As someone stated earlier, Mobile Attack just lets you get around of having to move up, shoot and then stop. With Mobile, you move out from let's say behind a wall, shoot at a target, and then get back into cover. Other characters would not be able to move back. Now, even though Mobile Attack doesn't let you use Double or Triple Attacks, you can still use Twin Attack.
#3. The only pieces that have been banned from tournament play are these:
General Obi-Wan Kenobi (Clone Wars Starter) from all DCI Formats, and Bobba Fett Bounty Hunter from Dynamic Duo Tournaments. Every single other piece in the game is completely legal for any format.
#4. A character with Heavy Weapon may not move and shoot. There are ways to kind of get around this. If you put a character with Heavy Weapon inside a Desert Skiff or Rebel Troop Cart, they can move the character with Heavy Weapon around while it shoots.
#5. Yes. If a CE says "Allies" or "Characters", then everyone in your squad (with droids being an obvious exception) can benefit from it. An example is Darth Vader, Legacy of the Force. His CE says that Allies within 6 squares gain Extra Attack.
#6. Character A cannot Grip character C because unless an Special Ability that you use to affect enemy characters allows you to ignore cover, the ability follows all rules for targetting. Here's a link to a very comprehensive guide that I found of the WOTC forums:
http://forums.gleemax.com/showthread.php?t=641281&highlight=Stealth+Guide
#7. No. Cloaked specifically says that if that character has Cover, then you must be adjacent to target them. As mentioned above, only abilities that ignore cover will allow you to target these characters (or ones that don't target, like Force Repulse). Some abilities that can do this are: Fire Support Mission given to a Trooper by General Veers Hologram. Lightsaber Throw 5 by Darth Vader Unleashed, and Lightsaber Throw 3 from Grand Master Yoda.
#8. If the character that is adjacent to the person with Cloaked is providing cover, then you cannot target the character with Cloaked. Characters with the ability Sniper will ignore this because Sniper doesn't allow characters provide cover to your targets.
#9. If a character is affected by Savage, you must end your move next to an enemy if at all possible using your movement. You are not required to spend Force Points to get there if you have any to spend. Line of sight has no bearing on the interaction with Savage, just being able to get adjacent.
I know I'm propably beating a dead horse, but I hope this was helpful.
Sincerely,
Jester007