Can I get a tax write-off for donations of cars under $1000?

Yes, if you donate a car to charity, you can get a tax write-off. $1000 is well below the maximum you are allowed to get.

yes but under the new rules the deduction is limited to the amount of the actual selling price of the vehicle. When the charity sells the car they notify you how much they sold it for.That is your tax deduction amount.