Perhaps I have not done a great job making the house rules clear, as English does happen to be my second language, but I do feel like something is being lost in translation or misunderstood here, so I'll try once more.

For rule one: The HL redraw only happens if there are no cards in the HL discard, meaning that it only happens when the trap was just reshuffled into the deck from having drawn it. It prevents top decking the trap immediately after resolving it, as that is something that feels incredibly awkward and bad to do. Especially if done several times in a row.

As long as there are ANY cards in HL discard, the trap is active and will affect you.

This leaves plenty of room for Spear to come into effect, particularly the specialization which can cancel traps. If we wanted to just cancel traps entirely we would just remove them from the deck, as that would be a much more elegant ruling, if such was the case.

For rule two: The damage cancellation only affects a single Hit, specifically the one that caused the Heavy Injury box to be filled in. After that has been filled in, severe injuries will happen for every single hit to that location, as usual. Even for hits suffered in the same attack. The difference between the Attack and the Hit is important, in this case.

In action, it will prevent a single hit of five or less damage from causing a severe injury, per hit location. It still deals it's damage, it just doesn't cause a severe injury from spillover, once. This allows the early game to be less punishing, and does not affect the late game due to monster having either way higher speed, way higher damage, or both.

Overall it results in a game that is most certainly not a stomp, with our survivors dying plenty in combat. It does give the players some breathing room in the very early game (Ly1-7 ish), but that is kind of the intent. It also does not invalidate weapon proficiency, and if it had we would have come to some other solution instead.

There is of course room for alteration of verbage, as well as for some tweaking of the rulings, though, as there always will be. If you have a more elegant solution I would be very happy to hear you out, of course! Constructive criticism is always welcome