Sadly, that part's a little vague.  "What are the shared values or goals or interests this community embraces?" is the direct quote from the prompt.  It doesn't give much to go on, but I'd say you're in the ballpark.

I'd have to think about this a little, too. What's your deadline?

Do you mind telling us what school you are doing this for? Will we see the results?

Lieutenant C. wrote:

.......What values and goals do we share?  ...

Hmm tough ask, lol.
For myself personally I value greatly the literature from ACD that opened my young mind years ago to the world of detection & simplicity of deductions. The lessons that can be learnt from the canon that not everything has to be intricate to fool people, really is something that stands the test of time. It is so true even today & we see this line of thinking copied so often in detective stories etc. Naturally enough this way of thinking can spill into anyone's everyday life; NOT to solve perplexing riddles, but just daily things that happen in life.
I think these stories are a great example of WHY we should preserve our histories in all things and WHY we SHOULD continue teaching our children to study these and other great literature eg Shakespeare. The values in these types of stories are ageless.

For the fandom as a whole alas the same is NOT true on face value as some have not even read the original works. So if you asked them, they don't value 'the classics' and have a goal to keep them accessible to future generations etc. However deep down, they obviously MUST have some appreciation for the canon, as that is where these stories originate from.

I guess it's like milk. Millions drink it, many have never seen a cow.

I think most of us enjoy reading of one sort or another. We have all joined with Sherlock as a common unifying interest. Most of us seem interested in film and television. Again most seem to be keen on analysis of aspects of the series. Again most are welcoming to new folk and are pleased to have the opportunity to virtually 'meet' others from all over the world. Most enjoy debating a point and testing ideas out. I'm not sure about this one but...I get the feeling/impression that most of us see ourselves as a little bit 'different' and Sherlock appeals to that side of us.

I think that one of our goals is to share our love of this show with others and in a way to pin our flag to the banner (does that make sense). Another goal frankly for many of us is to find something interesting and challenging to do whilst we are waiting for the next series. In a way this forum is another form of Sherlockian entertainment for us, one in which we can actively make a contribution.

Generally people here are supportive to others and seem to be generally very empathetic. They are inquisitive people, who want to know more, understand more. Another binding feature seems to be a sense of humour, although that can sometimes get 'lost in translation'. Most of us are attracted/intrigued by the characters we see in the Sherlock series and by default attracted/intrigued by the actors that play them and the creators of the series. A, perhaps unintentional/subconscious goal, is to be part of a community of (fairly) like-minded souls.

Eek...I've written loads. Perhaps I should have included that we have a tendency towards the verbose! Lol

I observed the 'study more' and 'practise music' in a few cases too - what a brilliant result from the mere adaptation of an age-old classic!