“Good is a major theme in the PE.” (Mounce, Pastoral Epistles, 33.)

Without considering ἀγαθός for the moment, note that καλός/καλῶς are found in 1 Tim 16x/4x; 2 Tim 3x/0x; Titus 4x/0x (note also καλοδιδάσκαλος, Titus 2:3).

See focused discussion of καλός and/or καλῶς in the Pastorals in Roberto Amici, “Principi e norme di non estraneità al mondo nelle lettere a Timoteo e a Tito,” EstBib 67.3 (2009): 447–56; Rüdiger Fuchs, “Bisher unbeachtet—zum unterschiedlichen Gebrauch von ἀγαθός, καλός, und καλῶς in den Schreiben an Timotheus und Titus,” EuroJTh 15 (2006): 15–33; W. Grundmann, “καλός,” TDNT 3:549–50; Lock, Pastoral Epistles, 22–23; Marcheselli-Casale, Le Lettere Pastorali, 393–95; Marshall, Pastoral Epistles, 227–29; Jerome D. Quinn, The Letter to Titus, AB 35 (New York: Doubleday, 1990), 175–76; Pietro Rossano, “L’ideale del bello (Καλός) nell’etica di S. Paolo,” in Studiorum Paulinorum Congressus internationalis catholicus 1961, AnBib 18 (Rome: Pontificio Istituto Biblico, 1963), esp. 377–81; M. Silva, “καλός, κτλ.,” NIDNTTE 2:610; Spicq, Les épîtres pastorales, 676–84; J. Wanke, “καλός,” EDNT 2:245.