For now, I'm going to say that this cannot be done. This is a special type of action that a single figure can use against a single Sentinel to rescue a single charater.
I'm going to say no. Flurry allows you to make 2 regular attacks or use powers in those attacks that require Close Combat Actions. Though rescuing can use a Close Combat Action, it is not a power and could not be used with Flurry.
Wow... all these are really excellent questions. For now, I'm going to answer 'No' to these also. I'll try and get further clarification on all this. I'm thinking that the Rescue attempt will work like how TK currently works. It will only work on one figure to attack one Sentinel to rescue one character.
This one I know. No, he doesn't have to decalre teh 2nd attack until the first one is complete.

As far as the object question goes, here is my take on it (for what it's worth):

1) A Sentinel does not have Super Strength, so he wouldn't be able to pick up an object on his own. (Sinestro Construct does have SS, but that only eliminates this first issue)

2) Flyers cannot pick up anyone holding an object. Capturing and taxiing are essentially the same thing. You cannot tell me that Sentinels have a special form of SS which only allows them to pick up an object if it was already being held by a normal figure.

3) Finally, a captured figure cannot be given any actions, whether or not they require tokens. In effect, all his Super Powers have been turned off like they have been Outwitted. The figure cannot use Super Strength until rescued. He wouldn't be able to hold the object anyway. And, per the Sentinel rules, a captured figure is NOT on the map any longer. His Super Powers can't come into play, because the figure isn't on the map to use them.

By those three existing rules, I still believe the object would fall back to the ground in the square where the captured figure originally stood.

I believe #3 above is the key. The existing Big Fig rules say "a captured figure cannot be given any actions". That includes actions like Outwit, Perplex, and Probability Control that don't require tokens. Once you are holding an object, SS doesn't require a token, but it is still an action nonetheless. Since a captured figure cannot perform any actions, his SS is gone. The object drops to the ground.

LOL.... Funky?!

What thread are you in?

I am everywhere...

These are all very good Sentinel questions. If I was at work doing my usual goofing off, I would have posted answers, being the foremost Sentinel authority :P
Suffice it to say I agree with every one of Tsannik's rulings. mutants beware.

Oh, I get it now! That question was so 'long' ago for me... I forgot that it was in this thread....

Yeah I'm thinking more and more that what you are saying is the way that it will go.... but something tells me there will be some clarification on this.

Yes, embrace the "drop the object upon capture" side of the Force. Give in to your feelings....

Give in to the FAQ!

Personally, I still believe a BigFig should be able to knock back another. I also think a BigFig should be able to knockback a regular figure that has Charge.