1st dot pt, i got big discrepancies in sources here, i have 2 text books that says he did not recognise fission.. jacaranda even said that he didnt even perform the experiment
and 1 text book that said he observed fission and lighter products but didnt investigate further....
so i think its safe to say that while his neutron irradiation experiment involving Uranium not only led to the transmutation in2 transuranic elements, but the minute concentration of U235 led to fission reactions to occur (although he did not recognise at the time) these products were varying beta decayers which indicated that there were multiple products. Fermi however did not investigate this any further.
Hahn and Straussman repeated this experiment and isolated lanthanum and barium in the products, confirming that lighter products were produce. Meiner and Frisch were able to explain this process by Bohr's water droplet model of the atom: Uranium undergone fission after it is destabilised by the neutron
Also Fermi's demonstration is with the chicago pile, the mouse trap thinf was not controlled