Hey, most of it was grammatically correct, so just take it as alternative sentences. :)
For my blog
When staying at home with my family or meeting my friends from school, I always feel like a kid, but at the same time really old. The kid acts like a baby in front of her family, but she's also concerned about her aging parents. This kind of strange sensation confuses me a bit. I believe other people in their late twenties have similarly mixed feelings. On one hand we need to be responsible, on the other we want to remain kids forever.
I'll be visiting Kyoto to see my sick grandma. I was relieved to hear that her condition was better than I expected. (The tense is off here, you might want to change it a bit.)
Since trips to Japan cost a lot, I don't get to meet my family very often. One of the biggest issues faced by people living abroad is being away from their family.
Besides visiting my grandma, the other reason I came here is to take my teacher exam in Japanese. Honestly, I don't really want to announce this on my blog, putting unnecessary pressure on myself, but if I am to become a sincere person when I'm blogging, there is no other way. I hope it will be alright.
While I'm here, I'd like to describe the people and what the country's like. Japan always fascinates and sometimes astonishes people, even if they were born here and lived here for more than 20 years. Everything changes so quickly, yet people still keep their old, odd and eccentric Japanese customs, which is very interesting. I can never get enough of that.
For my blog
She, one of my best friends from high school, was walking gently with arms linked with her father. That was our first contact after a long time. She looked gorgeous in a beautiful white dress, and her small face hidden in a shining bridal veil. The times have gone by so fast. I have finally noticed that we have already been grown-ups since we were still 16 year-olds.