If you are given a chat restriction, relog into the client (completely exit it and reopen it) and you will be presented with your reform card. I recommend you copy and paste them and save them on your computer in case you finish the games before you see the card again.
If you've already completed all 10 games, you'll need to submit a support ticket to retrieve the logs.
Lastly, I recommend after viewing the card you complete the games ASAP - so long as you complete all 10 chat restricted games before the end of the season you will still be eligible for season rewards - border, icon, and any skin(s)/chromas you're eligible for - the only thing you'll lose is the honor ward skin.