I have symptoms of burning around my lips, but haven't eaten any chili sauce; what should I do?

Herpes simplex? You might be breaking out with herpes simplex virus. If this is the case you will know rather shortly as usually you will develop small blisters on your lips. Hopefully, this is not the case as they are uncomfortable. If this does happen, there are topical and preventative oral medications you can use. Consult your doctor.