Several Puzzles From Saturday's Simul

Several Puzzles From Saturday's Simul

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Last Saturday I did an eleven board simul for the Dan Heisman Learning Center.  It was fun, and the whole thing can be seen via my twitch channel at http://www.twitch.tv/zugaddict/c/4754890

I'll probably go over some of the games in depth later on this week, but I thought I'd make a few tactical puzzles out of some of the positions which cropped up... 

OK, those  two were admittedly pretty easy. Here's a trickier one.
...
Now, for the bonus problem - the question is, should White play Rxg4?
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Feel free to attempt to answer this in the comments below.
Cheers,
- John "GargleBlaster" Chernoff