I'm not an expert on this subject (yet), but let me try to clear things up a bit.
Skhandelwal said:
I understand that electron is made up of leptons
No, an electron is a lepton. Lepton is a name for a whole family of particles (muons, tau particles, neutrino's, etc)
Skhandelwal said:
[...]leptons [...] are made up of energy
Just as anything in our universe.
Skhandelwal said:
But what I don't understand is that how can leptons be just made up of energy, I mean its not like a balloon.
There is nothing to understand here, it's just something fundamental. Probably, when you say energy, you have in mind the stuff that moves objects around and heats your house. In fact, energy is a fundamental quantity, which - as far as I know - cannot be defined. We just divide energy that we see up in different forms (kinetic energy, chemical energy, mass, temperature, etc) though all of these are really the same thing.
Skhandelwal said:
I understand that this universe is made up of energy but then why is it moving?
I don't see the connection between those statements. Why would the universe being made up of energy exclude it from moving? Do you mean: why is part of the energy that makes up the universe in a form that we call kinetic energy?
Skhandelwal said:
(why are the electrons spinning and rotating?)
Electrons are kept near atomic nuclei because of nuclear forces (mainly, Coulomb interaction). It's common to picture an electron as revolving around the nucleus in an orbit, just as a planet revolves around the sun. But in reality, we cannot pin-point the exact location on a given moment in time. We can just (by quantum mechanics) calculate the
probability that we will find it in that-and-that area. Likewise, the name
spin is confusing -- it refers to a property of (among others) electrons which has certain similarities to the classical spin of for example a ball or a top (in fact, it is similar to the orbital rotation, but it's an intrinsic property, like classical spin - hence the name I think). But the name is also a bit misleading, as the object does not really spin around an axis (in fact, we can look at an electron as a wave, rather than a solid "ball").
So, in both cases, nothing really "spins", it's just an attempt to link some strange, quantum-mechanical properties to familiar concepts, which gives us some grasp on the ideas, but one cannot extend the analogy too far.
Skhandelwal said:
why don't the electrons stick w/ protons?
You mean, if a proton is positive and an electron is negative, why don't they attract and collide? I think there is no answer without involving quantum mechanics again (sorry about all the QM, but on this scale, that's just the theory you need to accurately describe nature), but perhaps
this link will give you some reading.