The titles unlock condition seems to state it is for manually removing waste, so I don’t think it counts towards it if you use the auto deliver.
The customizations will unlock depending on which waste you dispose of the most.
There is one for ploughing resources with the excavator on the front installed.
There are three unlocks tied to the specialised waste, 50 of each.
One tied to the scrap metal, 75 total.
There are two tied to global waste removal, but I am not sure on the numbers for those.
You can check the title and their unlock requirements at the appearance modifier and going in to banner. Each title has a customization unlock connected to it.
Since they’re unlocked via titles, which are tracked across all saves, you only need to unlock them once and they should be available then in all present and future saves.
edit:
Dragonsire just posted a list of the unlocks and their requirement totals.