That's quite a lot to gather, I don't think there is any bundle for Taxes in India, but that won't change anything that Avalara/Avid does, provided you set it up correctly. You can go on setting up the tax yourself but I would recommend you take help of someone who knows GST and the ins and out of Indian taxes. Probably some sort of accountant with knowledge of ERP.
I think I know one Japanese (not sure though) firm who uses NS and has some import/export set up with Indian taxes because their products are probably manufactured in India.