As I mentioned the load is within Jazz's allowed towing mass and I tow stuff quite regularly, so it's not any problem. Especially in summer conditions.
Only thing why this wasn't my favourite trip was that you need to remember in every crossing and roundabout that you are towing a trailer. Take it super carefully during and after every turn until the combination is straight. Otherwise the trailer starts sliding and it can endanger others or even hit the rear corner of your own car. I learned it from one crash years ago when my empty trailer hit the rear corner of a parked car.
Originally I planned to collect the timber with my light truck, but it's in garage waiting for spares to arrive from abroad.