Can a person living in a retirement center file a civil suite against the manager, (NOT the company ) for not correcting problems relating to the well

Anyone can sue, but I think your suit would be dismissed against the manager personally.  The resident company which you can sue, presumably owes you a contractual duty to take care of the noise and smoking problems, but the manager personally does not.  Any duty he owes is to his employer, the resident company.  Before you decide to sue, you may want to complain to the resident company that its manager is not handling his/her duties.