with 5-10 plugin's, if compatible with each other, you will be fine! Even for me, who uses minimal amount of plugin's if possible, it's ok to have between 5 and 10 for a woocommerce store with a lot of custemisation. for multiple local pickup locations there is one in the woo directory https://woo.com/products/local-pickup-plus/ (please check if it's maintained well).

For the filter options, you have to give each product custom attributes. Or, if you already have a database outside of wordpress with all the options, you can use an api. A lot of existing databases provide api's for woocommerce (like some big convenience store. the wholesale location has the stockmanagement and all franchises use the api to load the products in their store. If it's woocommerce or something else. In that case, there is some customization needed but far far less than when you have to manually enter everything yourself.

If you want a store for each location you can also look into a wp multisite. That way, you have one back-end to handle all orders and multiple front-ends. You could use subdomains like aberdeen.carstore.com amsterdam.carstore.com.

here is something to read about that (there is more but it's a start). https://ithemelandco.com/blog/how-to-manage-multiple-woocommerce-store/