dnd 5e – Can a spiritual weapon be moved through the walls?

Reading How does a spiritual weapon interact with the illusions of creatures when it moves? it made me wonder – can a spiritual weapon to be moved through the walls?

The description of the spell says (emphasis mine):

A float is created, spectral weapon within the range that lasts the duration or until you re-cast this spell. When you cast the spell, you can make a melee spell attack on a creature within 5 feet of the weapon. In a hit, the target receives damage of force equal to 1d8 + your spellcasting skill modifier.

As an extra action on your turn, You can move the weapon up to 20 feet and repeat the attack on a creature 5 feet from it.

Spells usually require a line of effect when cast, which would prevent them from prestidigitation The weapon on the other side of a wall. Does that have any relationship with exciting The weapon through the wall? Additionally…

  1. Do you need to be able to see through the wall (for example, with an invocation of the wizard's Ghostly Look) to move the weapon through it?
  2. Could you also move the weapon if you could only see the other side of the wall (for example, see through the eyes of a relative)?
  3. Assuming the rules allow you to move a spiritual weapon Through the walls, can the weapon physically pass? Can it stay on the wall?