The initial “strange sensation” on your lip and itching all over is consistent with an allergic reaction to the Amoxicillin. Having tolerated the Z-pack well, your having a reaction to Clarithromycin would be unlikely but not impossible. Itching 48 hours after ingestion of an antibiotic to which a person is allergic is not uncommon. Any of these reactions could be accentuated by anxiety.
You are being cautious, not paranoid, and that is a good thing.
This is a situation that must be sorted out by your prescribing physician, taking into consideration the time frames of the drugs taken and the appearance of your skin. Your doctor should be able to distinguish between an allergic reaction and dry skin and also, with reevaluation, determine if additional antibiotic therapy is warranted.
Getting this sorted out, that is, determining which of any of your reactions represent allergy to a specific drug or class of drugs is very important, lest you be erroneously be labeled as allergic to drugs that might be needed to treat future infections.
Good luck
I'm still extremely itchy and its two days later. It seems like there is no chance that this could be related to the antibiotics, right?