Your especially at-risk after punishments. I'm going to assume you just don't have stable enough internet, for whatever reason. I suggest you really focus on figuring out what the issue is, because until you do you're going to (unfortunately) continue to get low priority queues.
I would submit a ticket to try and resolve any technical issues. Things like Windows Firewall, any other malware detection software, other programs on your computer, etc., they can all have an effect on League.
Also, if you ever know about anything that might cause you to be kicked from a game, I would refrain from playing League at that time until it's resolved. You're going to have to finish this low priority queue, then play several more games completely without disconnects. Once you do that, any random occurrences won't be a problem. It's when you get kicked from multiple games very near each other that Riot will take action.