Well, that was interesting. I've seen this opening before, I think it's called "The creepy crawly" opening where black gets a headstart on attacking on the flanks.
The move 4.c4 isn't really necessary, you could have played 4. Nc3 and have a very strong center, with all your center pawns pushed the c4 pawn becomes a weakness one day.
Also 7.e5, you could have continued development instead of a pawn break too early. You could have controlled the center more here, and 7.e5 looks to be quite in black's favor as you are giving up some central control.
He chose to have a closed game with 8...d5, and begins to attack on the flanks. All your pieces are in center, which is closed, so his attack on the flanks looks dangerous.
On move 11, you shouldn't have extended the pawns in front of your king because after all, he's attacking on your kingside. You could have kept it under observation with your pieces. 9...g5 looks like a pretty good move though, your knight on f3 was a key defender to the kingside, with the closed center, and black equalizing on central control, your pieces aren't doing much, and can't do much. Even pawn moves here have major drawbacks.
On move 13, you should have recaptured. You shouldn't have challenged with his bishop, black would love to trade and equalize here. You are playing white, you should have the advantage of position and development, so you should have kept your pieces on board as long as necessary. The d4 pawn was left hanging, you could have protected it with the knight after recapture, but because you over extended your f pawn, you left your king exposed. You should be very careful on moving pawns in front of your king.
The trading of queens favors black quite nicely.
You should have traded rooks, yours are connected, meanwhile black's h rook isn't going anywhere anytime soon.
I remember when I didn't castle also, but I realized you should castle. If he keeps his king in the center it is prone to attack, but since he closed the center, his king isn't safe, but white has no good attacks. You could have been more aggressive, and lead to a more interesting game.
Please help me make sense of this game I played tonight at the chess club.I had a huge lead in development in the opening due to my opponent's weird opening system, but I felt that I didn't know what I was doing after my 7. e5. I was white.