A person commits a petty misdemeanor if, with purpose to harass another, he or she:
(a) Makes a telephone call without purpose or legitimate communication; or
(b) Insults, taunts or challenges another in a manner likely to provoke violent or disorderly response; or
(c) Makes repeated communications anonymously or at extremely inconvenient hours, or in offensively coarse language; or
(d) Subjects another to an offensive touching; or
(e) Engages in any other course of alarming conduct serving no legitimate purpose.