Does it matter where I connect the battery charger?

If you put red (positive) to black (negative) on the same point you will have a short circuit and there will be no charging.

You have to connect the red (positive) on the charger to the red (positive) on the battery AND the black (negative) on the charger to the black (negative) on the battery. If you don't do that you won't get the battery to charge.

It is a good idea in a car to always hook up the positive first and then the negative to the car away from the battery.

https://m.youtube.com/watch?v=b95hA1t7eo8

No it won't work you will let the smoke out of either the battery or the charger

Put the charger down, and back away from the vehicle.......

pos to pos and neg to neg. Or red to red and black to black