Well, when you're talking about stuff like this you first have to consider what areas we were weak in last year and possibly this year, and consider whether you're talking about gross issues (rebounding, low A/TO ratio, solid defense) or issues that carry more or less weight depending on who we're playing on a given night in response to the other team's play style (3 point shooting against a Cuse zone). I guess I'll just go through the poll options since there are plenty of factors that go into winning a basketball game.
3 point ability: I believe we may be lacking here for this year. We only made 32% of our threes last year, and our highest percentage shooter (amongst players with significant minutes) was JL who shot 37%. Keep in mind as well that you could bet that a decent amount of these shots were open looks Kemba gave the other guards after driving and kicking the ball out. We won't have Kemba to distract the defense as well as he did, so we probably won't have as many open looks as we had last year. couple that with the still low percentages, and we may still have trouble from three. Luckily, we have such a strong front court with a center who is so adept at passing that this may not end up being a huge deal.
Post scoring: This will probably be the strongest aspect of our offense, as we have AO coming off another summer of practice as a junior, ready to make even more significant improvement than he made last year, as well as a once-in-a-decade beast of a scorer in AD. Add in Roscoe's rebounding, DD's size and athleticism, and Enosch's apparent (from what I saw) improvement, we have a very, very strong core of post players. We'll see what Olander and Bradley have done with their summers. This could very well be our primary method of scoring, and will thus be one of, if not the most important part of our success.
Inside defense: we know we can rebound, and, after the last 3 games of the tournament last year, we know we can play defense already. JC teams (as long as I've watched) have always played strong defense in a league where inside presence and defensive skill is imperative. Add in AD's and DD's size and athleticism and we will be just as strong inside as ever. Defense is always important and is arguably what won us a championship, so this will definitely help alot.
Tempo: UConn has always played, as Dookie V loves to say, "run baby run" and I see no reason why this should change this season. Boatright is lightning quick. AD can run like few 6'11" guys can. I have a hunch that we're not going to press very much, even when JC plays 3 guards. 2 sophomores and a freshman may not have the rotation of assignments that occurs during a press down well enough to execute it effectively enough in real-game speed. I definitely don't think we're going to go the ND way and burn the clock every possession, but I don't think the offense will revolve around when Kemba Walker sees an opening anymore, aside from the fact that he's gone. I don't think our tempo will play a large factor in our success
Bench: the bench is always important to a degree, and it will be a factor this year since we don't have an unquestioned star leader who can play a full 40 minute game. This, of course, is always a good thing, and our bench has gotten significantly stronger than it was last year. When you think of a bench, you think of role players (Chuck's defense and rebounding, Beverly's leadership, Craig Austrie's free-throw shooting hahahahaha), but since most of our players are such well-rounded players and could start for just about any team in the country, they aren't even really bench players in the traditional sense. As opposed to filling certain roles at certain times, the "bench" can be rotated to give teams entirely different looks at different times in a game. This can be a fairly significant part to the game plan and to our success.
Perimeter defense: I honestly feel that this, along with perimeter shooting and turnovers, was the reason the '09-'10 team was so disappointing. Kemba was our best perimeter defender last year and will be missed, but we all surely caught glimpses of Shabazz's Kemba-like scrappiness on the perimeter. Shabazz is definitely a quality defender (stripped the final shot of..... was it the Louisville game in the BET?) and JL has such crazy length that you do not want to shoot with his hand coming towards your face. We shall see how good a defender Boatright is. Giffey, from what we've seen, is surely at least a sound defender.
Coming off a championship is a double-edged sword. The majority of our roster has been through one of the biggest grinds in college basketball postseason history and knows what it takes to win the big games (14 of them to be exact). They will surely be alot more confident this year. However, being the defending championship puts a huge target on your back, which means that we will be getting the absolute best of every team we play as they try to knock us off.