I’ve had a quick look around the E-Commerce manual (https://matrix.squiz.net/manuals/e-commerce) but can’t see anything that leaps out as identifying that it’s capable of any inventory management, or connecting to an inventory system to display ‘in stock’ ‘on back order’ statuses etc.
Is that right or have I misssed something?
It is to some basic degree. You can manage product stock via metadata fields on assets by targeting the quantity field of a checkout page/shopping cart to a metadata field. It’s very basic though and not really designed to be an inventory management system.
This would depend on the system you want to connect to. I know that a lot of our clients have done integrations with e-commerce platforms such as Magento, but other 3rd party platforms should also be possible to connect to given they have a good API.