Once a commander’s ward ability has triggered, causing that commander to lose ward by removing Codsworth won’t affect the ability. The appropriate player will still have to pay or see their spell or ability countered.

You can’t spend mana generated by Codsworth’s second ability to activate abilities of Auras or Equipment. This includes paying equip costs.

As Codsworth’s last ability resolves, if the target Aura or Equipment can’t legally be attached to the target creature (for example, because the creature has protection from enchantments or protection from artifacts), the target Aura or Equipment won’t move.

If either target of Codsworth’s last ability is an illegal target as the ability resolves, the ability won’t do anything. If both targets are illegal, the ability won’t resolve. If the target Aura or Equipment is already attached to the target creature, nothing happens.

The Aura or Equipment you target with Codsworth’s last ability doesn’t have to be attached to a creature you control when you target it. You just have to control the Aura or Equipment you’re targeting as well as the creature you’re targeting.