[BMCDA]

In fact an amino acid, the very building block of life is infinately more complex than matter in it's elemental state. I'm no mathmetician so somebody else can explain the utterly impossible event of an amino acid forming randomly, let alone forming into a workable structure that can replicate itself eventually.

Oh please! Amino acids are definitely not infinitely complex. They are rather simple compounds that can form more complex molecules which again are not infinitely complex.
Also you have to keep in mind is that atoms and especially those that from organic compounds have certain bonding properties so they don't stick together like candy. Therefore these molecules are not that unlikely and no intelligent agent is required that assembles them atom by atom.
And finally, what has all this to do with the Second Law of Thermodynamics? A molecule, however complex, doesn't violate the 2ndLoT if it's chemically possible.

I just think that randomness begetting more randomness...

I guess you never heard of "self-organization".
Also, have you ever seen a vortex or Bénard convections? Those are both structures (of particles that don't interact chemically with each other) that are more ordered than the patch of gas or fluid they originated from. All you have to do is to add energy.