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My family has been invited to participate in Chabad programming. I know that the Orthodox do not consider me to be Jewish as I am a Reform convert, but my wife and daughter are Jews through matrilineal descent. Am I permitted to participate in Chabad programming (Shabbat meals, learner's minyan, torah study etc.)? If so, is there anything I am required to disclose to the Chabad Rabbi? I don't typically out myself as a convert unless I am directly asked or there is a reason I have to.

The Chabad rabbis I've met go out of their way to welcome people in. They also have to know that for the Reform movement in particular with their stance on patrilineal descent, there is a non-trivial chance of issues with the halachic status of non-Orthodox Jews. I'm a member of a Reform congregation and when I had to make last-minute seder plans one year, the Chabad rabbi didn't ask any questions when I asked to attend their community seder. I was far from the only person there who was not from within the Chabad community.

I don't know how they handle honors for men; as a woman I'm not going to be offered an aliyah or be counted in a minyan anyway, so any questions about my status don't matter there. If you're offered an honor you can (and should) decline it. If there is only barely a minyan you should tell whoever's running things (it might not be the rabbi) not to count you. Unless the person asks why not, you don't need to say anything more.

As for attending classes, take your cues from how they publicize the class. Another answer says non-Jews can't learn torah, but I note that several Orthodox rabbis have taught at Pittsburgh's community-wide tikkun leil Shavuot for the last ten years, so the issue seems more nuanced. If the Chabad rabbi offers (and advertises) a class to the whole community, as our local Chabad rabbi does for JLI classes, then you can show up -- either that rabbi doesn't hold by the "no torah study" rule or he has chosen the class content with the possibility of a broad audience.

If you find yourself attending more than a handful of their events, it would be a good idea to let the rabbi know your status. He might even respond by offering to teach you!

Someone who is not Jewish is not permitted to learn Torah or keep Shabbos. (There is no issue, of course, in partaking of Shabbos meals.)

In your specific situation, the answer may depend. Do you plan on a halachic (Orthodox) conversion to Judaism imminently? Certain elements of Torah study prohibited to a non-Jew may be permitted for a convert-in-training.

As far as partaking of the Shabbos meals - if the Chabad organization are only sponsoring it for Jews, and if they would not allow non-Jews to participate, then partaking under false pretenses could be considered paramount to stealing. (I personally doubt a Chabad Rabbi would stop a reform convert from partaking, but it is dependent on the circumstances.)

You should also make sure not to touch any wine that is not mevushal, which would invalidate it for any Jews present at the meal.