la familia de mi padre viven

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La familia is a collective noun, so the verb would be "vive."

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Fui a Italia para dos semanas y visité a Roma para una semana...

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Por is used to signify a duration of time. So, substitute por in for para.

Other than those couple minor grammatical mistakes, good job. I'm 15 and spent a few months in Barcelona on an exchange program. I loved the place... though I've only been learning Spanish for a couple years.