Trickster with Manastorm

Here is a few questions:

1- Does the Trickster Ability "Weave of the Arcane: Movement cost no mana", trigger the Manastorm ability "Sacrifice all mana upon casting a spell"?
2- If it does, will it also activate the "Whenever you spent 200 mana..."?

3- If I use Arcane Cloak, would it trigger the Spent mana effect or would the Manastorm override it?

4- Would Archmage support work even if it cost no mana?
Supported Skills have base Mana Cost equal to 6% of Unreserved Maximum Mana, if that value is higher
Supported Skills gain Added Lightning Damage equal to (70-127)% of Mana Cost.
Even if the mana is not spent, does it still have a mana cost or it removes the mana cost value completly?

I would try it, but it requires time and I am focusing on another character.

1) yes it should
2) no you are not spending mana
3) cloak should go first spending your mana and then the shield sacrificing the rest of it
4) Im not sure which one would take precedence but I guess it stays at zero.