#1. The problem before the tourney was that OCE teams were disqualified cuz not enough time for travel, throwing 9 months of hard work for an entire region in the gutter.
#2. The problem on day 1 is that a LAN was played online. Like how was an online LAN an acceptable main condition for a tourney?? If they couldn't do a LAN, they shouldn't have tried to force it. LANs already have a host of technical issues that can pop up at any time. Unless it's already been proven to work before in a less important/minor tournament, then using a remote server, in-person, and with a bunch of non-personalized equipment is just increasing the risks of failures in a HUGE tournament which we saw on crucial rounds that day.
#3. I believe the problem on day 2 & 3 is false positives with the rapid antigen testing that they have to do daily per LA county health guidelines. Players are actually re-testing negative (even multiple times sometimes) with repeat testing but LA protocols are still affecting their ability to play because even a false positive = quarantine. EVEN though Riot said they wanted to play online because if someone was positive, they could still play, on day 2, people did test false-positive and this "online LAN" they tried to plan for STILL didn't work out as a contingency. So day 1's excuse for the lag looks VERY bad right now.
In conclusion, Riot planned so poorly for this LCQ that it'd be insane if someone didn't get fired for this.