More matches and a study group sounds like just the medicine this team needs. Go for it.
Where to go with this group

A few more matches would be good. How about a few games of vote chess? I would like to find ways to improve my rating as well. I study group would help for sure.
Hi guys, as you may know, recently Jen has transferred the leadership of the team to me. I had a few questions for those of you who are still active, so I can better manage the team.
1) Do we have enough team matches going right now? Would any of you like some more? I haven't played in the recent ones but I can now that my game count has gone down.
2) How would you guys feel about creating a "study" thread in the forums? I think this would be a good way to get more activity going. We could post our own games, get analysis from others, post useful learning resources etc. This could motivate the team a bit more I think but it won't work if others aren't interested.
I have loads of free time that I can dedicate to this group so if you have any ideas, feel free to bring them forward!
Anthony