My car will not start, the battery is new/3 days old. All accessories come on. Thestarter does not engage at all. It is not the clutch saftey... b/c when I press the cluth to start it makes a faint humming sound, as it does absolutely nothing with the clutch not depressed. I have tried to push start it, and it does not even attempt to turn over. I am at a loss. I don't know where else to start looking. I believe it may be a relay but it should still push start i would think. What else could the problem be? Please help.

Optional Information:
1993 Mazda MX6 V6

Already Tried:
Push starting, Fuses, Jump starting...