Wiring new basement lights
Sure you can do that, as long as the total number of outlets on that circuit doesn't exceed the maximum allowed (In Canada we are allowed 12 on a 15A circuit) Since you're adding a light, you will be increasing the number of outlets on that circuit by 1, so you should count all the receptacles (each duplex receptacle counts as 1 outlet even if you're not presently using them) and lights on that circuit.