A family of Microsoft relational database management systems designed for ease of use.
Caio,
These are excellent suggestions by John.
In addition, your phrase, "or the date of the first activity of the task group" implies that you may make a habit of logically tying or constraining summary tasks. I'm not sure the wiki covers these explicitly.
Make sure that ALL levels of summary tasks above your "bugged" tasks are:
a. Free of any start constraints;
b. Free of any Actual Start dates;
c. Free of any predecessors; and
d. Task Mode does not equal Manual. (Tends to sneak in for new MSP2010 users.)
Good luck, tom