NL2 Should I bet more with second nuts?

HI guys!

This is my first hand I post for the forum ever. I started to play after 5 years of break, so I try to play according to cinfident91's beginner course.

Only thing I noticed about my opponent that he's played very loose and agressive, seemd like a fish for me.

PokerStars, Hold'em No Limit - $0.01/$0.02 - 6 players

UTG: $2.16 (108 bb)
MP: $2.09 (105 bb)
CO (Hero): $2.00 (100 bb)
BU: $3.24 (162 bb)
SB: $2.00 (100 bb)
BB: $2.30 (115 bb)

Pre-Flop: ($0.03) Hero is CO with K♥ A♦
2 players fold, Hero raises to $0.05, 1 fold, SB calls $0.04, BB calls $0.03

Flop: ($0.15) T♥ 3♦ 3♠ (3 players)
SB checks, BB checks, Hero checks

Turn: ($0.15) J♣ (3 players)
SB checks, BB bets $0.02, Hero calls $0.02, SB folds

River: ($0.19) Q♦ (2 players)
BB bets $0.40, Hero calls $0.40

Flop:
According to the beginner course, I didn't cbet my overcards against two opponents.

Turn:
The turn gave me some outs for a straight, so my plan was checkbehind or call a smaller bet.

River:
I hit my straight, however because of the paired board I decided not to raise.

My opponent literally played every second hand, so I could not set a range for him.

My questions are:
1, Should I raise on river and even call a shove?
2, Does my line make any sense or I should bet earlier in the hand?

I can't wait to read your opininons!