I had a couple chat restrictions a couple seasons ago and unfortunately got put into honor 0. I would say it took me a good 6 months to get back to honor 2, but I made it before the end of the season and earned my rewards back. Your mileage may vary, because it depends on how many games you play that are "good behavior" games. Your goal is to avoid any valid reports, but you can definitely make it to honor 2. I don't think you'll be getting honor 4, there just isn't enough time.
Also, advice to avoid being tilted. Swear out loud at keep a sticky note on your desk, "No matter what I say, it won't change what these people think." Focus on your own strengths rather than their weaknesses. You need 52% to climb in rank, not 100%. :)