A related discussion, Horrible Reaction to Amoxicillin was started.
Thanks for using the forum. I am happy to address your questions, and my answer will be based on the information you provided here. Please make sure you recognize that this forum is for educational purposes only, and it does not substitute for a formal office visit with a doctor.
Without the ability to examine and obtain a history, I can not tell you what the exact cause of the symptoms is. However I will try to provide you with some useful information.
Allergic reactions to antibiotics do not typically manifest as dizziness or fogginess, but rather rash, itching, angioedema (swelling of the mouth, and in severe cases the airway). Corticosteroids can lead to several side effects including a sense of fogginess (and in others a sense of euphoria/insomnia), typically high rather than low blood pressure, and other side effects (even one dose of high doses of steroids can lead to acute confusion in older adults). Sometimes, when an infection is occuring, and a medication is started for it, it is difficult to tell what is from the medication and what is from the infection itself. On the other hand, as you mention, some antibiotic allergies can be fatal. Discussion of your concerns with your physician is recommended, including whether or not to continue the antibiotic and whether or not you are having signs of allergy to amoxicillin.
Thank you for this opportunity to answer your questions, I hope you find the information I have provided useful, good luck.