If you get extreme screen tearing try to play it in window mode (I think that removed it for me) or consider playing the web version instead. Not sure what causes it yet.

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Most of your abilities cost mana and you get mana back by grazing enemy bullets or using your sword attack.

Debug option:
Hold M to deactivate your pushbox if you get stuck in a wall.

Xbox controls:

Sword attack: X
Dash: LB
Heal: A (Hold a few seconds)
Fire: RT
Laser: RB
Sprint: LT
Slowmotion: B
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PC controls
Sword attack: Right Mouse Button
Dash: Space
Heal: Q (Hold a few seconds)
Fire: Left Mouse Button
Laser: Middle Mouse Button
Sprint: Left Shift
Slowmotion: 2