One (1) thing (studying) makes you tired. Two or more things (2+, like homework and studying everyday) make you tired. Homework is part of studying, so you can say that studying everyday makes your tired. The first thing that you said is almost perfect: "School homework and everyday studies make me tired." I changed "everyday study" to "everyday studies", but "everyday studying" is equally correct. Have a great day!

They are both correct, but wiping your hands with your dress is like saying that the dress is like a towel. Wiping hands on a dress (or any other thing) is more simple and casual than using the dress to clean hands. Both of these are normal. :)

My eyes

Today I got up early because I had to go to the clinic. I arrived around 9:30 and paid to see an ophthalmologist. 
I waited for a long time. After an hour I was attended, but only for a few minutes as a preview exam. Then I waited for two more hours. It was so boring. Finally, I talked to the doctor who checked my exams. There were three exams: visual field, cornea exam and I don't remember the name of the third.
All the exams are to find out if I am suitable for a laser operation. I don't know the answer yet, because I need a one more exam.

I just realized that I used the word "exams" instead of "test". I think this second is the right one.

Good! :) 
"Exam" and "test" mean the same thing, so you can use either one.

My dream.

I had a dream last night.
It was about Japanese actor "Junich Ishida"
He is much older than me and married.
He told me that we couldn't have a relationship.
And one of my friends said to me in the dream "Poor Hisako. Are you alright?"
I was completely alright!
This is because I'm not interested in him.
I don't know why he appeared in my dream.
But when I think back, it's an interesting dream.

Here in Texas, they are the same. I think that bars are called "pubs" in England and Ireland, so a "pub" here is a bar that has an English or Irish name and atmosphere.