My thousands digit is an even number which is two more than my hundreds digit. My hundreds digit is three more than my tens digit which is three more than zero, my ones digit. My ten thousands digit is one more than my ones digit.

even numbers: 0,2,4,6,8

So, if the number is xxxxx, then it must be among
x20xx
x42xx
x64xx
x86xx
Now you should be able to piece together the other clues.