Hi seanyeom ,
I believe we have had a conversation of email as well, but if not I will reply again.
You would need to test your shipping plugins as we are not sure if it is compatible. It very much depends what the plugin is using to create the shipping labels.
Multi-Inventory does not change anything within the order shipping details, so in theory it should work.
If you have the plugin, send over a copy and we can test. Our guys will try to install it in your demo site.