I don't think I'm going to drive my boyfriend to work.
That's not nice, why wouldn't you drive him?
The reason is that I'm in a bad mood and I don't want to face my bf in this mood
I think it's nice of you to want to spare him your bad mood.  However, he'll probably be pretty upset if you don't drive him, since he's probably counting on you to help him.  Maybe just tell him you don't want to talk while driving?
That's silly. I'm in a bad mood and don't want to talk to anyone, period.
I get what you're feeling, but you can adjust your mood temporarily, as it's wrong to leave your boyfriend hanging when he's relying on you to drive him. Sometimes we have to do things we aren't in the mood to do. I'm confident it'll be okay even if you don't enjoy the drive.