Hello~Yes, it possibly could be an ear infection, a fever does not always accompany them. Yours sounds fairly serious. I would contact your GP and have him/her look at the ear drum and explain your symptoms to him.
As to antibiotics, some are certainly prescribed for ear infections. sometimes antibiotics, such as amoxicillin, are needed to treat severe cases right away or cases that last longer than 2–3 days.
Again, I would certainly contact the GP to rule out anything serious.
Is this still going on? I'd call your doctor. A middle ear infection can definitely be the culprit and you can have those without a fever. My kids did plenty of times. But, I also found this interesting article. https://www.huffingtonpost.co.uk/entry/earache-in-the-cold_uk_5e4babf9c5b6eb8e95b2131a A doctor in the article says : "Cold temperatures and strong winds can irritate this canal, which can, in turn, cause pain." and “Our ears aren’t covered by the layer of fat that covers the rest of our body,” she explains, “meaning that all these areas are exposed to the weather. Cold air can also reach the ear drum, which is also very sensitive.” Talk to your doctor about it.