after depolarization does the cell become more positive inside than outside?
Depends on what you mean by "after depolarisation", i.e. at what point in the actional potential. If you look at the top half of the second image in the previous post it shows the changes in membrane potential with time.
So if you mean, does it become more positive inside than outside at the end of phase 0, when the sodium channels have opened, and sodium has entered in large amount, then yes. You can see than on the graph where the membrane potential is > 0 mV.
and i guess potassium would out because of this
If the inside of the cell becomes more positive, it will increase the tendency of positively charged species to leave the cell.
Potassium does indeed move out after sodium entry in phase 0. But the leak channels only contribute to a small amount of this movement (in fact, some become less permeable as membrane voltage increases, a property called rectification).
We have a series of different potassium currents, including Ito (phase 1), and a series of conductances, such as IKr and IKs that are responsible for potassium movement during plateau (phase 2), and ultimately contribute to repolarisation in phase 3.
These currents are illustrated in the lower panel on the third image.
but would more sodium ions leak out through leak channels also than normal because the cell is more positive at this time?
You would have less of a force pushing sodium in. It's going to depend on the membrane potential, and the concentration of sodium inside and outside of the cell. So you'd probably have a smaller "sodium leak current", if you will. But any "sodium leak" is going to be a very minor player, and have very little effect on the membrane potential, or the intra/extra cellular sodium compared to the large conductance of the V-gated sodium channels in phase 0. There are simply bigger currents, and other channels that are more important for determining membrane potential at this point.
[If you want to get into more complicated math, you can use the Nernst equation to predict an equilibrium potential for sodium.
E(Na) = 61 log ([Na]e / [Na]i)
If the membrane potential is less than the equilibrium potential for sodium, then sodium will tend to move into the cell. If membrane potential is above this sodium will tend to move out. But any actual movement will depend also in the permeability of the cell to sodium. ]
or is the leaking of potassium enough to repolarize cell?
No. We have specific potassium currents, see IKr, IKs, etc. that are involved in repolarisation. The leak current is too small to do this in a timely manner, and if these channels lose function we see delayed repolarisation and long QT syndrome. If repolarisation takes too long, we risk another opening of sodium channels, and an afterdepolarisation, which can cause an ectopic beat, or ectopic arrhythmia, e.g. V tach.
also the sodium potassium exchange is not needed to repolarize cell?
No, but it's a minor determinant of the resting membrane potential. It does exert an influence on the membrane potential, but other processes are more important for repolarisation -- primarily the previously described potassium currents.
its needed to maintain concentation gradient?
Ultimately, yes.