No carnet required for Turkey.
As for Iran I met a guy at the border several months ago who was doing the same thing. No carnet but was leaving a cash deposit. It was a lot more than €1000 though. Can't remember the exact amount but I think is was in the region of €12,000. And no guarantee that you will get it back.
The figure will depend on the value of your car. I think it is possible to do but doubt anyone here will be able to give you an exact figure.
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