Known players: (?) UTG2 MP1 MP2 MP3 SB BB
CO: $1,97
Hero: $2
0,01/0,02 No-Limit Hold'em (8 handed)
Hand recorder used for this poker hand: PokerStrategy.com Elephant 0.102 by www.pokerstrategy.com.
Preflop: Hero is BU with A♠, J♣ (Comment)
4 folds, CO calls $0,02, Hero raises to $0,10, 2 folds, CO calls $0,08.
Flop: ($0,23) A♣, 6♥, 4♣ (2 players) (Comment)
CO checks, Hero bets $0,18, CO raises to $0,36, Hero raises to $0,54, CO raises to $1,87 (All-In), Hero calls $1,33.
Turn: ($3,97) Q♠ (Comment)
River: ($3,97) K♥ (2 players) (Comment)
Final Pot: $3,97
Results follow (highlight to see):
CO shows three-of-a-kind, fours (4h 4d)
Hero shows (As Jc)
CO wins with three-of-a-kind, fours (4h 4d)
I paid his all in because on the preflop he just put the blind and after my raise he just paid, so I truly believed he had nothing after the cand was trying to get some money from me, but I was completely wrong 
I did something wrong or the guy is pretty lucky??
For that given part I might even consider rather folding it. Or at the best just Calling and reevaluating it on turn. Doesn't really make sense to min-3bet, what's the idea of yours with it? Try reading the articles and you will find out that raising such an amount will give him good odds for any draws.