It looks decent; the animated cockpit views of each pilot are a nice touch. The ships themselves don't look too bad, either. It's also cool that each ship has different weapon types and (I think) different movement speeds and accelerations.
The first big problem with the game is the controls. It feels like you're always out of control. Since you can reach high speeds using a fairly large ship (compared to such a small screen), both ships are constantly hitting the edges and teleporting elsewhere. It looks like the enemy ship always moves in a straight line, but it moves so quickly and teleports so often that it's still annoying to catch up with it.
I feel that this kind of gameplay doesn't work well in a 1vs1 situation since you only have a single target and it's too chaotic just trying to catch up to it. Even though it's in space, some friction would be great to give the player more control!
The other problem is that there's no feedback on each hit - when you hit the enemy, you don't see your weapon particles explode or hear a "hit" sound effect. Same goes for when you get hit. The weapon particles just disappear, making it hard to distinguish between it successfully impacting from it going out of range. Audio/visual feedback here is really important!
I think it has potential for a first game. Besides my problems above I think it could be a cool game as something for two-players on a keyboard to play.