a couple hands

Yeah so where did I screw up in these hands. First hand I'm confident he has a set. At what point do you shutdown?

***** Hand History for Game 4324129808 *****
$100 NL Texas Hold'em - Sunday, May 21, 04:54:16 ET 2006
Table Middle Sea (Real Money)
Seat 1 is the button
Total number of players : 6
Seat 1: pokerkings39 ( $149.64 )
Seat 2: Phu11 ( $140.60 )
Seat 4: arathym ( $135.32 )
Seat 6: BDaws ( $97 )
Seat 3: arennhack ( $91.73 )
Seat 5: lukejakal ( $49 )
Phu11 posts small blind [$0.50].
arennhack posts big blind [$1].
lukejakal posts big blind [$1].
** Dealing down cards **
Dealt to arennhack [ :Jh: :As: ]
arathym calls [$1].
lukejakal checks.
>You have options at Table 95986 Table!.
BDaws calls [$1].
pokerkings39 folds.
Phu11 raises [$2.50].
arennhack calls [$2].
arathym calls [$2].
>You have options at Table 95986 Table!.
lukejakal folds.
BDaws calls [$2].
** Dealing Flop ** [ :Jc:, , ]
Phu11 bets [$5].
arennhack raises [$14].
>You have options at Table 95986 Table!.
arathym calls [$14].
BDaws folds.
>You have options at Lady Ester Table!.
Phu11 folds.
** Dealing Turn ** [ :Qc: ]
arennhack bets [$24].
arathym calls [$24].
** Dealing River ** [ ]
arennhack checks.
>You have options at Lady Ester Table!.
arathym bets [$52].
>You have options at Table 95986 Table!.
arennhack folds.
arathym does not show cards.
arathym wins $143

Should I have pushed the turn or value bet the river here? Or was this fine? I'm confident the other guy had a T.

***** Hand History for Game 4326919436 *****
$100 NL Texas Hold'em - Sunday, May 21, 15:59:00 ET 2006
Table Table 106803 (Real Money)
Seat 5 is the button
Total number of players : 6
Seat 6: ricardo831 ( $144.23 )
Seat 5: arennhack ( $121.52 )
Seat 4: Clint137 ( $159.38 )
Seat 1: ptwatt ( $69.44 )
Seat 2: mullaman ( $41.40 )
Seat 3: MIC74 ( $26 )
ricardo831 posts small blind [$0.50].
ptwatt posts big blind [$1].
** Dealing down cards **
Dealt to arennhack [ :Kh: :Td: ]
mullaman folds.
MIC74 folds.
Clint137 calls [$1].
arennhack calls [$1].
ricardo831 calls [$0.50].
ptwatt checks.
** Dealing Flop ** [ , , :Qd: ]
ricardo831 checks.
ptwatt checks.
Clint137 checks.
arennhack checks.
** Dealing Turn ** [ :Js: ]
ricardo831 bets [$1].
ptwatt raises [$3].
Clint137 folds.
arennhack raises [$10].
ricardo831 folds.
ptwatt calls [$7].
** Dealing River ** [ :Jh: ]
ptwatt checks.
>You have options at Table 96107 Table!.
arennhack is all-In [$110.52]
ptwatt folds.

I'm convinced folding KK in this spot is +EV. I know this has been discussed to death but I think his range here has to be KK/AA. Do you fold this? I waited for the time to runout to make my decision... I could have walked away with a $20 profit, instead I ended up losing a buyin. I really just talked myself into believing he might have AK or QQ but this is clearly AA I think.

***** Hand History for Game 4327013302 *****
$100 NL Texas Hold'em - Sunday, May 21, 16:09:28 ET 2006
Table Table 96107 (Real Money)
Seat 1 is the button
Total number of players : 5
Seat 1: subdriver753 ( $248.47 )
Seat 4: Betty_Busto ( $100 )
Seat 5: scootdogss ( $102.95 )
Seat 6: arennhack ( $129.35 )
Seat 3: paulhop111 ( $64.90 )
paulhop111 posts small blind [$0.50].
Betty_Busto posts big blind [$1].
** Dealing down cards **
Dealt to arennhack [ :Ks: :Kh: ]
scootdogss raises [$2].
>You have options at Table 106803 Table!.
SukMyJaggon has joined the table.
arennhack raises [$7].
subdriver753 raises [$20.75].
paulhop111 folds.
Betty_Busto folds.
scootdogss folds.
>You have options at Table 106803 Table!.
arennhack is all-In [$122.35]
subdriver753 calls [$108.60].
** Dealing Flop ** [ 7c, 8d, 6d ]
** Dealing Turn ** [ Jh ]
** Dealing River ** [ Td ]
subdriver753 shows [ Ac, Ah ] a pair of aces.
arennhack doesn't show [ Ks, Kh ] a pair of kings.
subdriver753 wins $260.20 from the main pot with a pair of aces.
arennhack does not show cards.
arennhack wins $134.27