There are a few helpful things to know about the IFS, which might help provide context to your chat restriction.
First, it doesn't count how how many people report, it only checks to see if there is at least 1 report. It's a binary zero/non-zero check. Thus, you don't need to worry about people crusading for reports against you. In fact, if they are harassing you by repeatedly threatening reports and trying to force you into certain actions, they themselves have broken the rules and I would advise you to report them too.
Second, the system doesn't care who is doing the reporting. If they are reported, the system will check for it. If you report them, the system will review it independent of all other players. If they report you, the system will review your game independent of all other players.
Third, if you were chat restricted, then they aren't false reports. Just because the other players also probably deserve a punishment doesn't make yours invalid. As mentioned earlier, each reported player is judged independent of all teammates. Back in the Tribunal days, it was common for the voters to give a bit of leeway to those who had awful teammates, but even then it hardly a guarantee.
If you'd like us to take a look at your logs, you can log into the League Client to access them and copy them here. We can point out bad moments, unhealthy attitudes, areas to improve, etc.