The symptoms you are describing do indeed sound very similar to the symptoms that people with migraines can complain of. Within the category of migraines, there are a lot of different types of migraines, and these may all present differently. The different types of migraines, and their presentations are beyond the scope of this discussion. In general though, sensitivity to light (also known as photophobia), and sound (phonophobia) are very common. The visual auras can present in many different ways, including the way that you described it. It is unlikely that the complaints of eye swelling are related but again, the presentation of migraines can vary depending on the type of migraine
you are experiencing. It is best that you be evaluated by your neurologist
as they will be able to best evaluate your medical history and presenting symptoms and decide upon the appropriate work up for this. They may decide to perform certain imaging studies or refer you to specialists. They will also be able to better decide upon the appropriate treatment options for you. These include medications, and certain injections that may alleviate some of the symptoms. They may also work your up for other neurological issues such as seizures
as some of your complaints may also be related to atypical seizures.