sorry for simple question, but need clarification...

If i cast one spell on opponet's turn, and during that turn he take another turn (example: ice path - 6. Immediately take another turn), can i cast one more spell during additional turn?

Yes . That's another turn, not the same.

For the same reason, if the Wizard cast Temporal Warp, he gains his spells at every start of the extra-turns.