No, the penicillin shot will not paralyze you. Even if you have a penicillin allergy, that's not an expected reaction.
Info here:
http://www.medicinenet.com/penicilli...on/article.htm
Getting your wisdom teeth out is not bad. They do hundreds each week so really are experts. You'll get a day or two of SIQ (sick in quarters) which can be a good chance to recharge without falling behind.