i) do preserve lepton number conservation, the neutrino emitted is an electron-neutrino, which carries no electric charge and electron lepton number +1. Emitted is also a positron, which carries electric charge +1 and electron lepton number -1. The protons (hydrogen nucleus) has no lepton number at all.
ii) are you referring to neutron induced fission? I can't even make up a correct sentence out of what you wrote.
http://library.thinkquest.org/17940/texts/fission/fission.html
The nucleus will be split into two halves and some free neutrons, the final result is probabilistic and the result will occur since it can occur (is more energetically favourable)
http://www.knutsford-scibar.co.uk/webimages/fission.jpg
iii) I think you are asking what is the attractive force that helds nucleons together, and that is the strong nuclear force:
http://en.wikipedia.org/wiki/Nuclear_force
http://aether.lbl.gov/elements/stellar/strong/strong.html
the concept is that only protons have EM-force, which is repulsive and infinite range, but quite weak in strength. Both protons and neutrons have attractive force called the nuclear force, which is strong but short ranged - only nearby neighbour nucleons feel that force.
Now look at the image on fission again, the incoming neutron will disturb the mother nucleus and make it elongated. The ratio of neighbours will decrease at the middle where it is thin, thus the electromagnetic force might take over and force the elongated nucleus to split in two + some neutrons. The yeild of daughter nuclei follows a distribution, here are some examples:
http://www.kayelaby.npl.co.uk/atomic_and_nuclear_physics/4_7/4_7_1a.html
also the number of neutrons in the final state also vary, from 0 to quite many, like 6-8. The mean is around 4, depending on what mother nucleus you have and energy of incoming neutron.
electrons will undergo reactions with the protons in the nucleus when they are 'inside' the nucleus, this is called electron capture
http://en.wikipedia.org/wiki/Electron_capture