You can get honor fast by being honorable, it's quite simple. I received a 5 game restriction on June 28th and got my honor back August 10 because I'm a nice person that got a little too passive aggressive one night. I played quite a few games in between that but got 2+ Honors in 85%+ of my games, either Tilt proof or Shot-Caller. If you don't play your Honor doesn't just decay; it stays where it is until you play and prove you're honorable by getting your honors.
Little things like not flaming a player for having a rough games, offering suggestions on how to play against the person they're having trouble with, being the shot caller and making calls that pays off, or just playing ADC/Sup and playing well. If you play Sup/ADC You usually get a free honor from your laner if you guys did alright or had fun together, and if you play as support and roam mid your mid laner will remember that and honor you later on. Also, helping your team goes beyond like ….. picking CC in champ select lol most people appreciate when you let them snag kills if you're like 7/1 15 minutes in - THAT'S how you properly carry. Use your advantage to help your team snowball, don't hog all the kills so your KDA looks cool.