Thejamesclan's circuit will not work for you.
1. If your push button switch has only 2 contacts (I can't tell) it won't work for jamesclan's circuit at all...it requires 3-contact (SPDT) switches.
2. With that circuit, all lights are off with no switch pressed. The correct LED will light as long as the switch is held down. But as soon as you let up on a switch all the LED's are out again. To use your original format for thejamesclan circuit:
if no Push Button is pressed all the LED's are "OFF"
if Push Button #1 press, LED #1 will ON(Lights) and the rest is "OFF"
if Push Button #1 is released all the LED's are "OFF"
if Push Button #2 press, LED #2 will ON(Lights) and the rest is "OFF"
if Push Button #2 is released all the LED's are "OFF"
if Push Button #3 press, LED #3 will ON(Lights) and the rest is "OFF"
if Push Button #3 is released all the LED's are "OFF"
if Push Button #4 press, LED #4 will ON(Lights) and the rest is "OFF"
if Push Button #4 is released all the LED's are "OFF"
if Push Button #5 press, LED #5 will ON(Lights) and the rest is "OFF"
if Push Button #5 is released all the LED's are "OFF"
With your requirement, one of my circuits or something similar will be the only solution. If someone can come up with a more simple solution I would be very interested. I like simple!
Ken