You are in the good way
Just put this in your code :
$user['lastactivity_date'] = vbdate($vbulletin->options['dateformat'], $user['lastactivity']);
$user['lastactivity_time'] = vbdate($vbulletin->options['timeformat'], $user['lastactivity']);
Then put $user[lastactivity_date] and $user[lastactivity_time] in showgroup_usergroupbit template

.
Not tested it, but I think it will work.