Hoja de papel
To say 'I have paper' in Spanish, you would say 'Yo tengo papel.'
To say 'I eat paper' in Spanish, you would say 'Yo como papel.'
To say 'I want paper' in Spanish, you would say 'Yo quiero papel.'
Pedazo
If you mean just pieces of paper, "Mira los papeles". If you mean "Look at the newpapers", then it is "Mira los periódicos".
Papiroflexia is "origami" in Spanish.
Disfibradora
El papel
añicos de dulce
You can say "aviones de papel".
paper in spanish is PAPEL
pieces of paper that say how much you owe