Trainer rear wheel
 

I would appreciate your help in choosing a rear wheel+tire to be use with my home Tacx trainer.
My current set is a Dura-Ace 10 set. Do i have to use the same rear set or it can be 105/ultegra 9 set?

9 and 10 aren't going to work very well together because the spacing between cogs is different. If your shifters are 10, you need a 10 cassette. You can mix-match between 105, Ultegra & DA if they are all 10.

If you have a 9 speed wheel, you can swap the cassette for a 10 speed.