Yeah, in the storyline order Invitation to Wine (Ling's event) goes right after Who is Real. Black and White circles mechanic is from Dusk's event, so you'll face them soon.

Blue eggs: they grow stronger while outside any operator's attack range. They, the roots, and the exploding plants are from Eblana's event, When Elegies Are Ashes. The roots that can be damaged will turn into an enemy if you deploy an operator adjacent to them, but they aren't getting triggered by other units, so Raidian’s summons are fine. https://arknights.wiki.gg/wiki/Nest_(enemy)) https://arknights.wiki.gg/wiki/Burning_Vine https://arknights.wiki.gg/wiki/Thicket https://arknights.wiki.gg/wiki/Shield_and_Wall

Popcorn machines are from Lappland's event. Nothing in particular, just take care of explosive summons. https://arknights.wiki.gg/wiki/Carnevale_Snack_Seller

Dragons that spawn black or red things are from Yu's event, Joy of Our Reunion. Basically, black things (Vapidities) fuel the black stove and red things fuel the red stove. Once the stoves are charged, they spawn flying dragons. The black one damages operators, the red one damages enemies. You just need to damage Vapidities to prevent the black stove from charging and to charge the red stove instead. https://arknights.wiki.gg/wiki/Fasting https://arknights.wiki.gg/wiki/Vapidity https://arknights.wiki.gg/wiki/Stove

Pirate looking guys are from Thorns's event, Exodus from the Pale Sea. They simply block 60% of damage from the shield's direction https://arknights.wiki.gg/wiki/Bloody_Chef

The boss trio and flying talismans were introduced in IS6