At the moment, closing the switch may damage Q2, you apply the 3.3V directly across the B-E junction with it in conducting direction. You need a resistor in the base connection to Q2 to limit the base current.
There are several solutions, the easiest is probably to add two resistors and a diode.
1. Wire the diode and one resistor in series and fit them between the collector of Q1 and the base of Q2, diode should have it's cathode (+) end toward Q1.
2. Add the other resistor in series with the switch and connect it between ground (like it is on your schematic) and the base of Q2.
Q2 will then be controlled (but safely) as it is at the moment by the switch and Q1 will work as before as well as controlling Q2. I think that's what you want.
Brian.