Loose call on a drawing hand?

[Spy021]

Recently started playing NL after picking up NLH: TaP. Would like some feedback, specifically on my call on the flop and turn. Thanks in advance!

Reads: Just hit the 2nd orbit on the table so don't have much as far as reads. 2 players that I did have stats folded PF.

Party Poker No-Limit Hold'em, $ BB (9 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

saw flop|<font color="Green">saw showdown</font>

BB ($17.99)
UTG ($35.23)
UTG+1 ($24.75)
<font color="Green">MP1 ($15.78)</font>
MP2 ($75.74)
<font color="Green">MP3 ($9.75)</font>
CO ($5.15)
<font color="Green">Hero ($44.30)</font>
SB ($6.15)

Preflop: Hero is Button with T, 7. SB posts a blind of $0.10.
UTG calls $0.25, <font color="Blue">1 fold</font>, MP1 calls $0.25, <font color="Blue">1 fold</font>, MP3 calls $0.25, <font color="Blue">1 fold</font>, Hero calls $0.25, <font color="Blue">1 fold</font>, BB checks.

Called on the button for a single bet hoping to see a good flop.

Flop: ($1.35) J, 4, 6 <font color="Brown">(5 players)</font>
<font color="Red">BB bets $1</font>, UTG calls $1, <font color="Red">MP1 raises to $2</font>, <font color="Red">MP3 raises to $5</font>, Hero calls $5, BB folds, UTG calls $4, Hero calls $10.53, UTG calls $10.53.

Not a terrible flop, I got what I was hoping for in the flush draw. Plus I picked up a backdoor straight draw. Unfortunately, none of my outs are to the absolute nuts, which makes me think that the initial call for $5.00 is a bit loose. However, at this point I am thinking that a couple players have a Jack such as JQ, J10. Others may be on a straight or smaller flush draw. Hopefully, not Ax. After the initial call, I have to call the reraise, but now I'm thinking set (4's or 6's).

Turn: ($40.41) 9 <font color="Brown">(4 players)</font>
UTG checks, Hero checks.

Gladly take the free card... although with 2 players all-in, I'm concerned that if I do make a hand I am not going to get much in the way of payoff.

River: ($40.41) 8 <font color="Brown">(4 players)</font>
UTG checks, <font color="Red">Hero bets $10</font>, UTG folds.
</font>
I hit my non-nut hand... I've made a draw, which was the sole reason for calling on the flop, so I have to bet it. Just as I feared, I don't get a call from the remaining player with chips. So no potential side-pot for me.

Show down is mostly irrelevant...