Movie keeps pausing on iPhone 5?

Please help! I downloaded 2 movies from iTunes. I can watch them, but it keeps freezing literally every second! If not, 1-5 seconds throughout the entire movie. I keep on having to press play (and it barely plays until it freezes again!) It's so frustrating! But I also keep getting pop ups saying "storage almost full." I checked and it says I still have some GB left. Does this have to do anything with it? Why does it keep doing this and is there a way to stop it so I can watch the entire movie without it freezing? Please help! Thank you (p.s it is a 16 GB iPhone 5, barely have any photos, apps, etc…)

For some reason it isn't letting me add additional details, so I'll have to comment them instead. It isn't buffering. If I let it sit for 10 min and come back, it will still go for 1 sec. Then freeze again.

I'm having the same problem.

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