Spring and Neap tides are caused by the gravitational reinforcement of the Moon and the Sun.
When the Sun, Earth and Moon line up you get the maximum tidal effect. (Spring Tides)
When the Moon is at right angles to the line between the Earth and the Sun you get minimal tides (Neap Tides).
Perigee should have a little influence on increased tides because the moon is a bit closer to the Earth at perigee. It doesn't matter whether the moon is full or not (full moon has nothing to do with perigee which simply means the closest point in the orbit of one body to another). The super moon phenomenon is just a factor of the relative positions of the Sun, Moon and Earth at the Moon's perigee.
If you wonder if the Sun has any effect on tides look at some of the moons of Jupiter - the tidal forces of the attraction of Jupiter and the Sun (and other moons) cause some of the moons to physically deform and contract to such an extent that they cause the moon to heat up. See, for example, Io (http://www.planetary...o/tidal_heating.html
) where tidal interactions of the Sun, other moons and Jupiter combine to keep Io hot enough to be volcanic. Without those tidal forces Io would be a dead lump of rock.