Stage #1479109296: Holdem No Limit $0.10 - 2009-06-14 18:38:17 (ET)
Table: ROSANNA AVE (Real Money) Seat #5 is the dealer
Seat 5 - TOM041081 ($3.95 in chips)
Seat 6 - DR1ZZLE ($34.35 in chips)
Seat 9 - LUSCIOUSJD ($20.42 in chips)
Seat 1 - GERTRUDE1952 ($9.86 in chips)
Seat 2 - SWPKRQUEEN ($8.60 in chips)
Seat 4 - N0FUTURE ($14.04 in chips)
DR1ZZLE - Posts small blind $0.05
LUSCIOUSJD - Posts big blind $0.10
*** POCKET CARDS ***
Dealt to LUSCIOUSJD [6d Kd]
GERTRUDE1952 - Folds
SWPKRQUEEN - Calls $0.10
N0FUTURE - Folds
TOM041081 - Folds
DR1ZZLE - Calls $0.05
LUSCIOUSJD - Checks
*** FLOP *** [Jd Qh 9d]
DR1ZZLE - Checks
LUSCIOUSJD - Bets $0.10
SWPKRQUEEN - Calls $0.10
DR1ZZLE - Folds
*** TURN *** [Jd Qh 9d] [Kh]
LUSCIOUSJD - Checks
SWPKRQUEEN - Checks
*** RIVER *** [Jd Qh 9d Kh] [8d]
LUSCIOUSJD - Bets $0.10
SWPKRQUEEN - Raises $0.80 to $0.80
LUSCIOUSJD - Calls $0.70
*** SHOW DOWN ***
SWPKRQUEEN - Shows [10c 5d] (Straight, nine to king)
LUSCIOUSJD - Shows [6d Kd] (Flush, king high)
LUSCIOUSJD Collects $2 from main pot
*** SUMMARY ***
Total Pot($2.10) | Rake ($0.10)
Board [Jd Qh 9d Kh 8d]
Seat 1: GERTRUDE1952 Folded on the POCKET CARDS
Seat 2: SWPKRQUEEN HI:lost with Straight, nine to king [10c 5d - B:Kh,B:Qh,B:Jd,P:10c,B:9d]
Seat 4: N0FUTURE Folded on the POCKET CARDS
Seat 5: TOM041081 (dealer) Folded on the POCKET CARDS
Seat 6: DR1ZZLE (small blind) Folded on the FLOP
Seat 9: LUSCIOUSJD (big blind) won Total ($2) HI:($2) with Flush, king high [6d Kd - P:Kd,B:Jd,B:9d,B:8d,P:6d]

The only hands you lose to are an A high flush or the straight flush. I think it is much more likely that he has a worse flush or a straight, given the board, so yes you should be reraising a small amount on the river.

Raise or shove on the river. He probably doesn't have a better hand than yours and you want to get as much value as you can for your cards.