Letterhead

Every line has a rule dictating which letters are allowed, and every clue can be answered with a word or name that has exactly one exception to the rule. Additionally, exactly one of the first letters of words in the clue is an exception to the rule:

ClueAllowed LettersRuleClue AnswerAnswer ExceptionClue Exception
Liza Of "Arrested Development"CDGIJLMNOSUVWZhas no degree > 2 verticesMINNELLIEA
Name Of A Region Of R^2 Determined By A Quadratic PolynomialABDOPQRnot simply connectedPARABOLALN
Laborer Fabricating Presents From SantaFGJLPQRhas no reflectional or rotational symmetryELFES
Wet Season In IndiaHINOSXZ180 rotational symmetryMONSOONMW
One Escaping From The PoliceCFGIJOPSTUVYtouches the baseline at only one pointFUGITIVEEE
Kind Of Domain (Examples Include Rings Of Integers)BCDEHIKOXvertical symmetryDEDEKINDNR
Intermediate Job Upon Completion Of Graduate School, But Before ProfessorshipBCDGJOPQRSUhas a curvePOSTDOCTI
Hellenic Metropolis (Not Sparta)ABEHIKMNOPTXYlooks identical to a capital Greek letterATHENSSS
"Margaritaville" Writer BuffettHJKMNUVWXYcan collect rainwaterJIMMYIB
Delivery Business Whose Logo Has Hidden PointerBDEFHMNPRUWZcontains parallel segmentsFEDEXXL
Onetime President RonaldABEFGHPRmidlineREAGANNO
Razor Brand Hosting Home Games For The New England PatriotsBDEFGHLPRTcontains a right angleGILLETTEIN
Machines Taking Over Dumb TasksAHIMOTUVWXYhorizontal symmetryAUTOMATIONND
Extremely Large Violin Or ViolaCDJLOUVonly boundary points of convex hullCELLOEE

The two answers are therefore THULIUM (element 69) and BLONDE.