Sore throat and neck pain x 2 days. Now right ear is bothering me. Gargling salt water, taking tylenol (acetaminophen). How long do I wait before going to my doctor?

If significant sore. Throat especially with swollen lymph nodes, exudates & enlarged, beefy red tonsils - you could see your doctor's office tomorrow for a strep throat test/ culture. It would save you $ - as compared to going to the er.
Probably viral. You most likely have a viral pharyngitis and myringitis (ear drum involvement). If you have fever, you should see your doctor to rule out a more serious infection. If no fever, and if your general health is otherwise good, i'd stay the course - you should be getting better in the next 24 - 48 hours with a 7 day course overall.
It's still early. Ibuprofen may be a bit more helpful compared with the tylenol (acetaminophen). Gargling not good enough. The ear pain is from swelling/occlusion of the eustachian tube. Remedy for that is sniffing the salt water straight up your nostrils. Don't forget vitamin c and lots of sleep.

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