It doesn't look like you're going to be deleting the checkboxes dynamically so that makes this problem a lot easier to solve. NOTE: The following solution won't work as expected if you allow clients or scripts to dynamically remove the checkboxes from the page because the indexes will no longer be sequential.
MVC model binding isn't foolproof so sometimes you have to help it along. The model binder knows it needs to bind to a property called Items because the input field's name is Items, but it doesn't know Items is a list. So assuming in your controller you have a list of items to model bind to called Items what you need to do is help MVC recognize that you're binding to a list. To do this specify the name of the list and an index.
@for (var i = 0; i < Model.AllItems.Count; i++)
{
}
The key line here is this:
Notice the Items[@i]? That's telling the model binder to look for a property named Items and bind this value to the index at i for Items.
