Your malaria, dengue and typhoid tests being negative doesn't rule out an infection, especially since your ESR is quite high and your haemoglobin is a little low, both signs your body is fighting something that hasn't been identified yet. Fever lasting more than a week, worsening in frequency, plus a new cough and weakness are exactly why your doctor wants you admitted, not something to work around.
Next Steps
Please see your doctor again today and get admitted as advised instead of delaying it for work; repeat testing and closer monitoring often catch what one round of blood tests misses, especially malaria, which can show a false negative early on. Keep taking the antibiotic and other medicines you've already been started on.
Health Tips
Go to the hospital immediately if you develop breathlessness, confusion, a very high fever paracetamol doesn't bring down, or reduced urination.