Is woocommerce the right solution for me? Multidomain, multilanguage

Hello!

I want to create a store to sell a niche product with variations (think only 2 t-shirts in 6 different sizes). It’s particular because I want it to sell to clients to 3 different countries, 3 different languages.

I was thinking to use 3 different domains for better SEO, like:
– beautifultshirt.com
– camisetabonita.com
– samarretamaca.com

I would like to manage it all from a single administration tool. I think that to all effects, I’d like it to be a single store but depending on the domain that you came from:
– show the interface in a different language ( I do all translations, no automatic translations needed)
– show different products (or the same product, translated, different shipping methods and taxes)
– url bar shows the right domain.

Can I do this with woocommerce + wordpress? Do you think there’s a better way? Am I missing something or overcomplicating things (taking into account what I need?)

Thanks!