Aiming is a mess. You should at least make it so the mouse gets captured at the same height your bullets are being spawned at, otherwise the aiming is not going to be accurate whatsoever.

The camera system is not optimal either; it's too zoomed in, and lagging  behind the player so much means if you're running towards any direction that's the direction you see less towards, which is bad. Placing the camera halfway between the player and the cursor is probably the easiest solution, otherwise just keep camera fixed on the player.

-First off, you need to upload some screenshots my man.

-The camera is so zoomed in that you can't see anything

-You go way too far against the borders of the screen when moving so you can't see much of anything.

-PEWPEWPEWPEWPEWPEWPEW HELL YEA. Probably broken for actual play but I really don't care for this, I dig it.

All in all, not too rough of an early alpha. Most of your problems are camera related. Keep up the progress!

Feels pretty nice. You move/turn kind of slow and the camera is zoomed in so it has a sort of claustrophobic feel, which can be a good thing.

Looks good. This kinda reminded me of Dead Nation for the PS3. I think maybe if the camera was zoomed out a little bit more it would be better.

Movement feels pretty good, and I like using audio cues to let the player know they're running out of ammo. Looking forward to seeing more progress on this.

Pretty neat, looks very early development so can't leave any suggestions besides the obvious of "more content"
Keep it up!