Istanbul
Can my Family Member use my Bonus cards and Mosque tiles, including repeat cards?
Several replies agree and one reply cites an official-style answer; the rulebook only says the Family Member has no encounters.
Yes. A Family Member sent to a place carries out that action for you, so your Bonus cards and Mosque tiles apply, including cards that repeat the action. The card's "you" means the player, not the Merchant. Only the encounters are excluded. For the repeat card to apply, your Family Member must be the one doing that place's action this turn.