[Gameplay] Game Randomly Locks Up and Champion Can't Move

There are random times, and I can't specifically say when they are reproducible, but my champion and other champions will stop moving and will simply start auto attacking the nearest enemy minion/champion and will not cast spells. If you are moving, you cannot cancel your run animation, you will run there and AA. Then, the barrage of spells will happen 2-3 seconds late. Others in-game have complained of this as well. It is not like a ping lag, where everything in-game freezes, and you can't see anything move. I can see the minions moving as normal, and the enemy champions moving as normal. I was leashing jungle once with my husband, as we were going bot lane adc/support, and watched as we killed golems and could not move away despite seeing the jungle attacking, hearing the pings, and seeing the chat logs. I will go to lane and run up to cs a minion, and then will be unable to run back to safety while I get poked by lane opponents and then waste Flash to barely survive. I see them attacking me, and my experience with extreme lag spikes is that all activity in the game freezes and I don't see the motions of the enemy. I also do not see my ping bar rise during this time. It is quite odd and I cannot figure out what could be causing this.