Could you correct my brief post please? many thanks for your help

How are things? What's the weather like? Over here, it's has been gloomy and rainy for three days in a row.
Sorry for not having written to you for a long time.
On Monday I started my work at school. I was happy to see all my students, and on the first of September my daughter went to first grade. It was her first day at school and in Russia it is considered a momentous day.
I have been busy at work these days. I work long hours and come home late. I have had only energy to make a quick snack for myself and have had a bath.
At the weekends I am going to the centre of Moscow. I want to buy some books for learning for Russian for my friend.
Also, I must go to the bank to deal with some banking issues.