Am I really playing at the 1300 level?

I've played 31 games now, winning 21, losing 9, and tying 1.

In my losses I feel like I'm getting blown out of the water.  In my victories, the games are usually close or come down to me capitalizing on the opponent's blunders.  I rarely feel like I've dominated a match.  Can anyone have a look at a few of my matches and give their opinion on whether I am a legitimate 1300 player?

Keep playing games time will tell if you are a 1300 or not, you may just have a different style than the players that are beating you they may be more attacking and you may be the positional endgame advantage type. Which is may be why your games seem closer when you win than when you lose. But yeah play more games and just keep at it.

by the way I should say well done on the time control of the games you play so many players including myself have a bit of an addiction to fast games which do no good long term at all. But you have been playing rapid games which is fantastic that's the way to see improvement keep playing longer games really think about your moves and play your best chess and when it goes wrong look back through it. I think you've got the exact right idea, I wish I was doing the same thing, if I could I think I would want to disable the fast games for my account so I'm forced to play longer games and think so I can't just waste time on blitz. But yeah just had to compliment you on the time control of games you've been playing keep it up.

 You are your results. Accept your rating when doing well. Accept your rating when doing poorly.