I was raised and born in a family of four about an hour outside of Philadelphia.
I think the number of your family members is irrelevant.
you have repeated your idea. and i barely see a structure here. try to make at least 3 paragraphs. Here i can see that, you can divide this in to 4 paragraphs.
Paragraph 1 - Hook, paraphrased prompt, and your view. ( i think you have given a interesting hook here, but your prompt is not clear)
Paragraph 2 - start it from here "This transition in my life instilled a fire inside of me..."
Paragraph 3 -
Paragraph 4 - conclusion "Semester at Sea will provide me ...."
I hope this is helpful, anyway this is only my opinion, as i am a student, i could be wrong :)
on the other hand i really felt your urge to travel :)
Mod's comment:Making two comments one after another is not allowed - please use the edit option and add what you need instead