Phone mess up {Facebook messenger}

I got my phone last year from an outdoor vendor. It’s powered by android, sohostyle. Free internet. All was fine til it wouldn’t let me add Facebook messenger. I asked my neighbor to help. She said she’d make it better as it was basic but it’s ruined. Messenger looks bad and in no way can I access Facebook at all. I called a computer shop and they might be able to fix it for a fee. My phone was free. I asked a t mobile and they said if I bought a new phone( and it’s an expensive plan) I still wouldn’t be able to access my Facebook. Help