La momie peut effectivement tuer le moine de cette manière (le moine aura une blessure marquée sur elle, puis le marqueur -1/-1 fait descendre son endurance à 1 alors qu'il a toujours sa blessure, et il sera détruit la prochaine fois qu'on vérifiera les SBA).
Les blessures marquées sur les créatures sont retirées à l'étape de nettoyage à la toute fin du tour, juste après t'être défaussé des cartes en trop dans ta main [edit: et non pas à la fin du combat]. Attention, ce n'est pas les "régénérer", ça a une signification particulière (à savoir : "la prochaine fois que cette créature devrait être détruite ce tour ci, à la place, retirez lui toutes ses blessures, retirez la du combat, et engagez la", d'où la confusion de Van).
Spoiler
119.6. Damage marked on a creature remains until the cleanup step, even if that permanent stops being a creature. If the total damage marked on a creature is greater than or equal to its toughness, that creature has been dealt lethal damage and is destroyed as a state-based action (see rule 704). All damage marked on a permanent is removed when it regenerates (see rule 701.13, “Regenerate”) and during the cleanup step (see rule 514.2).
514. Cleanup Step
514.1. First, if the active player’s hand contains more cards than his or her maximum hand size (normally seven), he or she discards enough cards to reduce his or her hand size to that number. This turn-based action doesn’t use the stack.
514.2. Second, the following actions happen simultaneously: all damage marked on permanents (including phased-out permanents) is removed and all “until end of turn” and “this turn” effects end. This turn-based action doesn’t use the stack.
514.3. Normally, no player receives priority during the cleanup step, so no spells can be cast and no abilities can be activated. However, this rule is subject to the following exception:
514.3a At this point, the game checks to see if any state-based actions would be performed and/or any triggered abilities are waiting to be put onto the stack (including those that trigger “at the beginning of the next cleanup step”). If so, those state-based actions are performed, then those triggered abilities are put on the stack, then the active player gets priority. Players may cast spells and activate abilities. Once the stack is empty and all players pass in succession, another cleanup step begins.
701.13. Regenerate
701.13a If the effect of a resolving spell or ability regenerates a permanent, it creates a replacement effect that protects the permanent the next time it would be destroyed this turn. In this case, “Regenerate [permanent]” means “The next time [permanent] would be destroyed this turn, instead remove all damage marked on it and tap it. If it’s an attacking or blocking creature, remove it from combat.”
701.13b If the effect of a static ability regenerates a permanent, it replaces destruction with an alternate effect each time that permanent would be destroyed. In this case, “Regenerate [permanent]” means “Instead remove all damage marked on [permanent] and tap it. If it’s an attacking or blocking creature, remove it from combat.”
701.13c Neither activating an ability that creates a regeneration shield nor casting a spell that creates a regeneration shield is the same as regenerating a permanent. Effects that say that a permanent can’t be regenerated don’t prevent such abilities from being activated or such spells from being cast; rather, they prevent regeneration shields from having any effect.
704.5. The state-based actions are as follows:
[...]
704.5g If a creature has toughness greater than 0, and the total damage marked on it is greater than or equal to its toughness, that creature has been dealt lethal damage and is destroyed. Regeneration can replace this event.
Van a déjà répondu à ta seconde question.