The fact that you weren't in the vehicle is irrelevant to your right to sue. If you can show that the construction company's lack of reasonable care caused damage to your vehicle, then that's proof of negligence and you can sue for the value of your damages, plus any consequential damages (rental car costs, lost wages/profits, etc.).
In small claims court, you can sue for up to $5,000 without a lawyer. Emotional damages are very difficult to obtain, because you would need expert testimony from a psychologist or psychiatrist. You would have to pay for the expert's witness fees, and you can't recover those costs from the defendant. So, while I understand the emotional damages issue, unless you actually received professional mental health care, or you sue in a regular circuit court action, your damages will be for the vehicle repair costs, and any related out-of-pocket costs.
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