How should this patient's malaria be managed?
Well done, correct.
This patient should be given an Artemisinin based treatment due to the fact that most P. falciparum is resistant to chloroquine.
Ideally this should be given as an inpatient until it can be confirmed that the patient is improving.
IV Artesunate is indicated in severe malaria, however this patient has no signs to suggest this.
Doxycycline is used as prophylaxis and can be given alongside IV quinine for management of severe malaria, however oral monotherapy has no role in treating active infection.