Ulcers on the back of my throat?

No. Gargling with salt water or aspirin is basically of no therapeutic value at all, it's something that Doctors used to advise years ago, but not anymore. Indeed Aspirin would act as an irritant. You describe little about your condition and how long you have had it for, but IF you have actually got throat ulcers then it's best you see your GP as they can be an indication of underlying problems. Make an appointment to see your GP tomorrow.

In the meantime push fluid intake and take ibuprofen unless contraindicated.

First, you need to know why you are suffering from ulcers and the proper treatment would be ordered by the doctor. The mouth/throat is an extension of your stomach and esophagus, you need to know if you have ulcers at those sites, too. Is your immune system intact? Or do you have AIDS, diabetes, leukemia or diseases that cause ulcers. Are you on some type of medication that would cause some type of corrosive disease?

Some times the doctor may order a special mix of medication for treatment of ulcers. Based on why you have ulcers (if that is what you actually have), gargling warm water will not rid you of ulcers but may ease any discomfort. See a Doctor!!

Maybe, but go see the doctor as soon as you can. I had an ulcer on my tongue and happened to mention it to my Dr. He sent me to an ENT (ear, nose, throat specialist) who insisted it must come out. I had laser surgery on the side of my tongue and the ulcer was analyzed - fortunately it was an infected taste bud (!). The Dr. said it could have been cancerous - it wasn't - but that it looked like it could be a cancerous lesions. Please don't self treat if you're not sure.