No, the flu doesn't always consist of burning or itching all over, but no std does either, including herpes.
You need to see your doctor.
Aj
n plus the cold or the flu doesn't consist of itching or burning all over.like really this did happen from a kiss.n i heard that some people don't even have outbreaks with herpes
all of this happened right after a kiss
Also maybe it is just a common virus-liek a cold or flu?
From the symptoms you talk about it is not an STD. You can't get an STD from kissing. The only thing you can get is oral herpes which is very very common and all that really is, is a cold sore.
If you are worried, which I think you are, i would suggest seeing a Dr, but it's not an STD. You have to have sex (oral, vaginal or anal) to get an STD.