What will happen to a neuron if I suddenly remove the pump but not the leaky Na+ and K+ channels?
Both Na+ and K+ will move according to the electrochemical gradient. Given that K+ leaky channels are ever present, the cell is already around its K+ equilibrium. If you introduce leaky Na+ channel and remove the pumps, eventually the cell will be nothing more than a passive membrane and it will adopt the same concentrations of ions as the extracellular space, i.e., Na+ will pour in along its electrochemical gradient, after which K+ (formerly already at equilibrium) will start pouring out alongside its chemical gradient, due to the reduced electrical gradient because of Na+ coming in.