Guys i got banned before 3 months ago ( chat ban ) and since then i got tons of honors by team mates and im still "Dishonorable " . I dont flame ( it was only 2-3 bad games that couldnt resist and i got banned :P ) , im only mute the chat . Do you know why im still on this level after tons of honors ? Thank you :)
You need to get "most honored" alot of times
just getting honor slightly brings progress up
Most honored brings it up ALOT
Idk how much though but me and my buddy got a two week ban because we trolled due to team banning our champions highlighted and proceeding to steal OUR roles in said game
so we both locked in 
to see who could die the most times ( Ranked )
Riot was pretty lenient on our punishment but we were moved to "Dishonored"
Well my friend managed to get honor level 1 and is now honor level 3 while im still dishonored
ALSO if you get reported it apparently brings your honor progress back down
Hope that helps From my understanding if you want to be honored again just turn off chat and carry your games
I believe that you have to show that you are sportsmanlike person to get out of the dishonored pit. That cannot be done (at least easily) if you never say a thing in chat. If I understood your post correctly, you never talk anymore and that might be the reason why you won't get out of Dishonored status. If you have trouble with your temper, you might get into more trouble if you start talking of course, so consider your options thoroughly.
