"By the way home" should be "on the way home".

i got wet

I see

did you get wet?

Of course.

I planed to find a bookstore at 西門町. But I didn't find it.

On the way to MRT station, it still rans a lot.

When I get out of MRT, I changed shose for GOTEX Mountaineering Boots

I almost fell asleep, but it rained so much that I were still awake.