Good luck, you'll be lucky to get it within a year. Any sort of reports against your account negatively effects progress whether it be a valid or invalid. It's not only # of games but also time so you can't just blitz 300 games in a month and suddenly you're honor 2.
Unlocking honor is easy, reaching honor 2 is much harder as you'll be (from my experience) matched with similar honor folks which makes the reforming process just that much harder.
The last thing you want is to get another punishment (kills a level and any progress you have to the next one) so I suggest deleting your chat box from the game (a quick google search will tell you how to). Comms in game arn't worth it at this point, the ping system is enough for basic information and chat is just a toxic pit waiting for you to say something.