So all of my dash warning lights are on when I start the car. It mostly runs fine, but sometimes it kinda seems like it don't wanna start. Could this possibly be caused by the alternator? TIA

 

If the alternator is not producing a voltage above what is in the battery all (most, oil light is one of the exceptions ) of the dash warning lights will stay on.

So generally if the alternator warning light is on, the alternator is not recharging the battery - and the car will be dead soon. (could be bad alternator, regulator, belt is missing, Etc.)