The gameplay rules, overall, are pretty explicit. A few clarifications would help.
Continuing the Round: The way this is written it is not entirely clear that the round ends immediately when a player has enough hits. If there were a step in Playing Your Turn that said "Check for Defeated Target" or something similar, it would be more clear.
"...so that all players can see the reward value.": Does this mean you have to keep them fanned out, or should you just be able to see the top card?
"Remember to include all defensive strategy cards in play when counting the Hits total of each player involved in joining forces.": This belongs with the details of that card, not in the flow of play.
Continuing the Game: "All playing cards": This has not been defined. "Collect all Attack and Strategy cards" is more clear.
Much of this section is repeated from Beginning the Round. Rather than doing so, just explain how the deal passes and say to begin a new round following the directions above.
The Cards:
There should be an exact definition of "attack" and "attack card" because most of the specific rules depend upon them. Do all the Attack Cards listed count as an Attack? How are Combos treated? It would be better to make a clear rule about Combos once rather than stating them in each specific card.
Combo Cards: How do we recognize a combo?
Poison Dart: One point per card? Does a combo count as one card or three for this rule?
Dragon Rage: "Double the damage dealt by the attack you played in the previous turn." It might not have been on the previous turn if you had to pass. What if your previous card was a Poison Dart?
"Increase the Target's HP by 5 for a single player: When you place this card in front of an opponent, they will need to inflict 5 extra hits to defeat the Mercenary": Is that the name of the card or something? Similarly with "the Hired Guards".
"Increase the Target's HP by 5 for all players:" State that it includes yourself (even though the color text implies that.)
"Swap 2 cards in any attack list:" I think this means only within one player's attack list, but it should be made explicit.
"Draw an extra card:" Does this happen right away, or is it on your next turn like the opponent losing a draw?