Using variables and functions in an object literal

Answer 1

In this case you want a .each() and use this where needed inside to get an attribute from the current element for usage, like this:

$('.ckeip_edit').each(function() {
  $(this).ckeip({
    data: {
      name : 'value',
      id : this.id
    },
    //options...
  });
});

Answer 2

That won't work because this refers to the data object. You need to save the jQuery object so you can use it inside the object later.

Try something like:

var textarea = $('.ckeip_edit');

textarea.ckeip({
  data: {
    name : 'value',
    id : textarea[0].id;
  }
});