My first game I actually think I played well in:
http://www.chess.com/livechess/game.html?id=29563966
Feel free to point out if I could have done better after the b2 move.
That was very risky play allowing that pawn to march down to your lines. I would try to avoid doing that again in future as it can serve as an outpost for your opponent. On move two, I personally would have either developed my queen early, winning the piece and sacrificing a tempo, although already having your D-file open is a large advantage, or I would've played Nf3, continuing with the development as the pawn is easily captured a few moves later anyway.
That was a very nice discovered check winning the queen. However, I fear that against a better opponent, you had already given the game away a few moves in.
As a general rule, try to:
1. Control the centre of the board.
2. Protect your pieces. More so, if you are playing highly positional/tactical games.
3. Develop early. This means pawns, bishops and knights.
4. Castle early, as to avoid losing tempo later in the game.
5. Use pins, forks, discovered checks and exchanges to your advantage. Do not be afraid to sacrifice a piece if it wins you control.
6. Try to avoid developing your queen too early.
Above all, take your time. Don't jump on the first move that looks attractive. Always try to find another before deciding.