No. A sunspot is a slightly cooler area of the surface associated with magnetic disturbances within the Sun. The eruptions of gas are called prominences, and they are related to the phenomenon called solar flares.
Lava
Molten rock from under the surface (called 'magma') that reaches the Earth's surface and flows out is is called 'lava'.
umbra
Volcanism is the build up of magma onto the surface of the earth or a solid-surface. The eruption is caused by pyroclastics and volcanic gases breaking through the surface called a vent.
Magma reaches the earth surface during an eruption. Once the magma is on the surface it is called lava.
An area on the sun that is cooler is called a sunspot.
Sunspot
It is called a sunspot.
The darkest part, where the magnetic field is approximately vertical to the sun's surface is called the Umbra.
An eruption of gas in an arc or loop from the solar surface is called a prominence, which is often tied to a brightening of the Sun or "solar flare."
Lava
Such mountains are called volcanoes.
Molten rock from under the surface (called 'magma') that reaches the Earth's surface and flows out is is called 'lava'.
The sudden eruption from the surface of a star is called a plasma ejection. It is also known as a coronal mass ejection. They can be very dangerous if they happen to eject toward a planet nearby.
Yes I have seen a dark spot on the Sun. It is called a "Sunspot". It is formed on the Sun's surface which is called the "photo-sphere" and is caused by a loop of the Sun's magnetic field poking though the Sun's surface.
Penumbra
umbra