This is a modelling issue.
You have Container, each of which has many Item... except that what's actually happening is you're using the Item class as your options - this is your catalogue, if you will, and you want to put these items into "slots" which you haven't created a model for.
So, depending on what you want to do, you should probably model it like this (using better names - I chose mine for clarity of explanation):
Container hasMany Slots each of which is connected to its Item So: Container hasMany -> Slots <- belongsTo Item
That is, you have a non-reified "join", which you're sort of calling "slots" and attaching to Container at the moment.
I say depending on what you want to do because I'm not sure if you want to have the simple case I outlined above, which is "here are a bunch of possible items you can choose to put any number of copies of into your containers" or if you want the more complicated to develop case which is "here is a bunch of items which are finite... as you add each item to a container, it disappears from the list of possibilities". To do the latter is much more complicated, but of course it's possible... this is how inventory systems work.
I hope that's answered your question...
To put it another way, you need to build yourself a Slot model, related to each of your other models, and manage the join properly. If you bind the slots properly to each dropdown then Ember will take care of hooking up the data for you.
Let me know if you need further help on how to do this.
I've modified your JSBin to comprehensively show you what I mean. Hope that helps explain it: