Hi, Sara:

My name is also Sarah :) good job on all these questions. 

Are these sentences correct? Rahimi

衣柜

**把 construction is the grammar that doesn't exist in the English language,in this case, we can use 把 to indicate moving an object to a location, e.g 

我把衣服放在家。

and turning into a question, we use "where" at the end as you wrote but since you were specificly askng "where at home", we use   你把衣服放在家的那儿？We use “的” as the attribute of the location.

3。旅行的时候,你用什么拿装／放你的衣服?
行李

拿 normally use as "taking" something, in this case, we would use 装 as in "fill in" or 放 as in "put" 

4。你怎么洗衣服?
4。你用什么洗衣服?
洗衣机

5。有个运动一个在水里的运动

游泳

Good luck, if you need more tip on learning Mandarin or interested in taking a lesson, let me know.

Best luck,

Sarah 

Are these sentences correct? Rahimi