Top pair AA vs two pair, did I play correctly ?

Although I lost the pot, I feel like I played this right but I am not sure. Could anyone please let me know if they agree or disagree ? (I'm AV22773 btw)

Table 'Halley' 6-max Seat #1 is the button
Seat 1: AV22773 ($3.47 in chips)
Seat 2: Kilmin15 ($4.19 in chips)
Seat 3: mitunobu0031 ($2 in chips)
Seat 4: visla83 ($1.56 in chips)
Seat 5: $harky90 ($4.16 in chips)
Seat 6: tomczyckii ($2.01 in chips)
Kilmin15: posts small blind $0.01
mitunobu0031: posts big blind $0.02
HOLE CARDS
Dealt to AV22773 [Ah Ac]
visla83: folds
$harky90: folds
tomczyckii: folds
AV22773: raises $0.02 to $0.04
Kilmin15: folds
mitunobu0031: calls $0.02
FLOP [8s Qs Td]
mitunobu0031: checks
AV22773: bets $0.02
mitunobu0031: calls $0.02
TURN [8s Qs Td] [6h]
mitunobu0031: bets $0.13
AV22773: calls $0.13
RIVER [8s Qs Td 6h] [2s]
mitunobu0031: checks
AV22773: bets $0.19
mitunobu0031: calls $0.19
SHOW DOWN
AV22773: shows [Ah Ac] (a pair of Aces)
mitunobu0031: shows [8h 6s] (two pair, Eights and Sixes)
mitunobu0031 collected $0.74 from pot