If you wanted the Tarrasque to throw rocks, would you use the Improvised Weapon rules?

If you wanted the Tarrasque to throw rocks, would you use the Improvised Weapon rules (PHB), or the Rock rules for Giants (MM)?

Ready a spell, should there be a concentration check for all spells?

Can a warlock summon a Dao’s maul or a Storm Giant’s greatsword as their pact weapon?