$('#' + id).is(":checked")
That gets if the checkbox is checked.
For an array of checkboxes with the same name you can get the list of checked ones by:
var $boxes = $('input[name=thename]:checked');
Then to loop through them and see what's checked you can do:
$boxes.each(function(){
// Do stuff here with this
});
To find how many are checked you can do:
$boxes.length;