Why won't it start turn over? Battery fully charged, lights/radio do come on

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I just got the vehicle today. I do remember being inside of it and playing with the key fob while inside of it but not while it was in the ignition. Very shortly after, I tried to crank it up and it would not turn over, the radio all of the power and the lights would work fine. I'm convinced that it is an alarm or security system issue or simplistic being as I didn't have any problems with the vehicle 2 minutes prior to being inside of it and fidgeting with the key fob. I've recharged the battery, tried to jump the vehicle off, even tried some tricks I found on the internet to reset the system myself which they all failed. Please help!!! Also I failed to mention there is a little red flaighing light on the dash that I haven't noticed all day. It comes on when you try to turn the key over and crank it up.