First, should we be betting full range on the flop? Is it reasonable to check for pot control?
Second, as played: What sizing should we choose for the turn? Do we call off to the raise?

NL Holdem $0.05(BB)
HERO ($3.88)
UTG ($4.97)
HJ ($5.75)
CO ($10.42)
BTN ($5.4)
SB ($5.41)

Dealt to Hero: Ks 8s

UTG Folds, HJ Folds, CO Folds, BTN Raises To $0.15, SB Calls $0.13, HERO Raises To $0.60, BTN Calls $0.45, SB Calls $0.45

Hero SPR on Flop: [1.82 effective]
Flop ($1.80): 2h Kc 9d
SB Checks, HERO Checks, BTN Checks

Turn ($1.80): 2h Kc 9d Qs
SB Checks, HERO Bets $0.60 (Rem. Stack: 2.68), BTN Folds, SB Raises To $2.78 (Rem. Stack: 2.03), HERO Raises To $3.28 (allin), SB Calls $0.50 (Rem. Stack: 1.53)

(I shoved because it didn't make sense to leave 50 cents behind if i decided to go with the hand.)