I'd focus Rat King first, if you're having trouble getting past Rounds 1 & 2 of Dungeons. He clears everything out and can really help if you're not doing Dragon 20 yet. Nekmo is also good for lots of content including clearing Rounds 1 & 2. Make sure you're bringing Loki since most of your champs are Attack-stat based for his Increase Atk. You can use Warmaiden for AOE Decrease Defense, but Rat doesn't need it. All his damage are Bombs and Poisons anyway.
Clan Boss (Demon Lord) should be a priority till you're at least getting top Nightmare chest daily.
Also Vrask is really easy to build and very useful for team heals. He just needs Crit Rate and lots of HP, doesn't need tomes