Watching movies from apple tv app

So i bought, specifically, the hobbit extended version, the whole trio pack that i now have in my library on my phone in the tv app.

The issue is, when i've subscribed to apple tv, i cannot stream the movies onto my samsung tv, despite the subscription linking back to my account upon my phone... aka i can see on my phone and "continue watching" what i watched on my tv but not watch the movies that i bought on my tv.

The main issue is that i also cannot use shareplay or any kind of airplay on my samsung tv, no matter how much i look and research on the settings of my samsung tv or anything.

so for now the movies that i've bought are only available for me to watch on my teeny tiny phone screen, instead of watching Lee Pace on a big screen which totally sucks and idk if the system is crap or if i'm just too dumb to understand the underlying issue. either way i'd really love to get help for this since i've not even watched the movies on my phone and i might as well have them refunded if it has to be this big of a struggle to get onto my tv, and i could've saved my money...

I hope someone can help me with this issue or inform me of where and who to contact to get help on some kind of refund since i haven't even gotten to watch them...

thank you in advance :)