They've been rebuilding since losing to the Sharks in 2016. They're just not tanking, because they can't. If you want to lament the loss of Cernak, ok, but they haven't done much since April 2016. I don't know what the deal was for Pacioretty, but it's a good thing they couldn't make it work out. His 1 goal and point wouldn't be helping anything either, and whatever Blake would've given up to get him would be getting him calls to be fired himself.
The best thing for the Kings to do right now is nothing. If you want to fire Stevens, whatever. The last time they did that in season, they brought in a guy who was essentially retired, who was a friend of the GM. Who is the magic coach that will turn things around? Past mistakes are past mistakes, and there's nothing to be done about those. There's no reason to force anything today. "Shake up" trades aren't really a thing anymore. The cap is too important for that. They haven't been a tight defensive team for years, even going back into 13-14, regardless of what the GA may have been all this time.
The problem is they have no expiring contracts worth anything. They don't have a McDonagh to trade. Muzzin isn't that good. Martinez isn't that good. Martinez is a 3rd pair defenseman that needs a Matt Greene shield, and Muzzin is weird. If you get the right deal, by all means. That deal probably isn't going to happen in October though.
Let this play out. There's no rush anymore. This isn't a few months after a Cup win. They have their pick. No reason to make a trade just to do it, even if you could. The less Blake does in that regard right now, the better. Which is basically what's been happening since the SJ loss. Even Lombardi did nothing after that for a year. When Quick went down, did he do anything about it? No. He plugged in the 30+ year old minor league guy. Rebuilding without purposeful tanking.