The report you uploaded already points to a likely post-viral, antibiotic-unresponsive cough, which explains why the antibiotics didn't help. A sputum cough with sore throat that's now crossed a week, worse lying down at night, still needs reassessing in person rather than trying another round of medicine on your own.
Next Steps
Go back for the follow-up your report already scheduled around now, and mention the cough hasn't settled. A chest X-ray is reasonable at this point, so please see your physician or pulmonologist, who can listen to your chest and rule out anything beyond a lingering viral cough.
Health Tips
Go in sooner if breathlessness, high fever or blood in the sputum shows up, since none of those fit a simple lingering cough.