Personally, I'd get out before they get rid of you, it will look better on your cv.
Like the other people answering, I don't see why the company should be trying to contact you because your car broke down, its really down to you. It sounds like you were out of order 'having a go at people' because of this and an apology might be in order - nothing legal here, just politeness.
If youve been with the company less than 12 months they dont need a reason to dismiss you (they dont even need to make you redundant) so long as they are not discriminatory, which doesnt sound likely from what youve said.