ok, now that i'm sober...
first, WHERE ARE YOUR PTO/PAHUD READS???????????
first hand - as he's not driving the betting, he doesn't have the nut. as such, i think calling down these small bets is not a bad idea WITHOUT A READ. i wouldn't drive the betting on the value of the hand, but i might based on the likelihood that he will lay down a non-nut made hand (READ DEPENDENT). he either has 3-7 or 2-3, so i guess you split.
second hand - if i thought they would lay down (READ DEPENDENT), i would try to buy the pot on the turn. ok, i think i get it... you both have 2pr Q-kicker with busted draws to the same str8, so you split.
did i mention that PAhud has "Fold to flop/turn/river bet" as a stat?