As this man has no history of recent use of medication or toxins (ACEi/NSAID/Antibiotics/Contrast) or of prolonged hypotension, we can probably rule out Renal Artery Stenosis (RAS), Acute Tubular Necrosis (ATN) and Acute Interstitial Nephritis (AIN) (remember page 3 showed 'Renal" causes of Acute Renal Failure.
His FBC does not suggest a failing Hb or platelet count, so we can rule out HUS/TTP (usually see a microangiopathic haemolytic anaemia and thrombocytopenia).
What he does have is: oedema, hypertension, an active urine sediment (significant blood and protein in the urine) and renal impairment (increased creatinine). This would suggest that he might have a Nephritic type of disease (or rapidly progressive glomerulonephritis).
What further tests might you want to order? (Think and write them down)