In 960 tournaments, everyone seems to get the same position. I don't know if this was done intentionally or not, but it seems to undo the purpose of 960 since after you've played the openings of two or three games you have a basic idea of what's going on and some ways to coordinate your pieces. I was hoping all games would have different starting positions (with the exception of your White and Black games against the same opponent, so the advantages given to White aren't imbalanced). Does it at least change when you advance into the next round?

An example of why this disturbs me is the tournament I am currently playing in. I noticed two undefended pawns that could be attacked on two consecutive moves, so I attacked them both in the hopes that my opponents would not notice since those pawns were normally defended. Many of them lost at least a pawn right out of the opening. This seems unfair in my favor since I was able to take a realization that would normally be good enough for one won game if played correctly and convert it into quite a few won games if I manage to hold on to the pawn's advantage. Then, once we switched sides, my opponents gained a slight advantage that they wouldn't normally have since of course my opponents knew about the weak pawns and they started off with opening knowledge. They should be forced to deduce this opening knowledge themself in 960 but instead gleaned knowledge from past games.

So, in summary, I got a large advantage in the first round of games due to this repetition, and my opponents got a very slight advantage when we switched colors. I have three questions. Is this done intentionally? If so, why? Does this carry over to the next rounds?

It's done intentionally. It is generally assumed that certain Fischer Random positions favor white much more than the normal position. In order to counter any advantage someone might get from randomly being assigned such a position in a tournament, FRC/960 tournaments traditionally use the same set up for all boards in a given round. Of course, another solution to the problem is to have the games be played twice, with each player playing each color. This is too time consuming to generally be used OTB, and is more traditional in correspondence tournaments. They seem to be doing both here.

So in answer to your last question, the position should be different in your next round, although everyone in the next round will use that same (new) position.

As for your opponents gaining knowledge of weak pawns, that's one of the first things you should be looking for in a random position. I would expect my opponents to notice it before the first game even started.

I see. I was hoping that since we did in fact switch colors and play the same opponents, we could have different starting positions.

I'm glad to hear that if I advance we'll have a different position. I've had enough of this first one.

About the weak pawns, my opponents didn't realize the weak pawn first time around, so they have a very slight advantage of acquiring some opening knowledge from our first games that they didn't notice themselves. However, I had a much larger advantage in the first round because I could duplicate my opening knowledge between all of my games to win a pawn in many situations (where my opponents didn't find the hanging pawns themselves). I don't think I'll play any more 960 tournaments.

Or instead of playing the same opening to get the same advantage, you could try something new and perhaps inferior to test your skill as a chess player.