Yes it seems okay grammatically. I'm not sure of the context though, it seems a little strange. Maybe you have two jobs, one in an office and your other jobs' boss asks you when you are available. Or maybe instead of office work you mean odd jobs. "I had to do some odd jobs today and I cannot come to work tomorrow morning."

I HAD to do some office work (e.g. paying bills, changing and extending id card) today and CANNOT go to work in the morning.> You have got your tenses wrong, not to mention the construction. >I HAD to do some personal chores today, and that was why I could not go to work this morning.

Yes, it is. However, if you mean "identification card," it's typically capitalized, ID card.