Definitely not an auto-fold pre. The raise was fine but once you get called from button, you are out of position and should proceed with caution. The flop bet should've been bigger ($15-$20). Normally I like to cbet about 2/3 pot so I would've like $20 cbet instead, as I think this bet will take it down a lot of the time and it's a lot stronger, showing you are now $30 invested in the pot with only $70 behind. Your $10 didn't even make the guy with AJ flinch. Once the turn comes J, and you check, you should be folding to his bet. Although shoving is also an option (had you bet bigger on flop). But I think his bet is too big for you to call, even with the nut flush draw you are getting 2.6:1 odds
and, assuming your 2's and A's are live as well, you have 15 outs, gonna make your hand roughly 30% of the time which means you need better than 3:1 odds. Since you are not getting the right odds, fold.
Also, as a side note, you shouldn't be playing these games where you are uncomfortable playing. I don't recommend playing this game anymore, and if you do, make sure you are comfortable enough and buyin for a full stack ($200 - 100 big blinds). Good luck in future cash games !!