What is the difference between 2p and 3p orbitals?

Importance difference in between 2p and 3p Orbitals is their energy.

The energy of atomic orbitals depends upon principal as well as azimuthal quantum number, which is  more common known as (n+l) rule .
According to (n+l) rule the atomic orbital has less (n+l)  value also has less energy vice versa.
If the value of (l):is same for two different orbitals then the greater the value of n greater is energy and vice versa.
For 2p => n= 2, l=0,. =>n+l= 2+0=2
For 3p => n= 3, l=0,. =>n+l= 2+0=3
Hence 3p have more energy than 2p orbital

Why are 2p orbitals higher in energy than 2s?

The energy of atomic orbitals depends upon principal as well as azimuthal quantum number, which is  more common known as (n+l) rule .
According to (n+l) rule the atomic orbital has less (n+l)  value also has less energy vice versa.
For 2S => n= 2, l=0,. =>n+l= 2+0=2
For 2p => n= 2, l=2,. =>n+l= 2+1=3
Hence 2p have more energy than 2s orbital

Does 2s and 2p have the same energy?

'NO' the energy of atomic orbitals depends upon principal as well as azimuthal quantum number, which is  more common known as (n+l) rule .

According to (n+l) rule the atomic orbital has less (n+l)  value also has less energy vice versa.

For 2S => n= 2, l=0,. =>n+l= 2+0=2

For 2p => n= 2, l=2,. =>n+l= 2+1=3

Hence 2p have more energy than 2s orbital

Which orbital has much overlap capacity?

When internuclear distance is fixed then overlapping extent of atomic orbitals depends on directional nature of orbitals. And higher the directional nature of orbitals more stronger will be extent of overlapping and more stronger bond will form

Order of extent of over lapping given as:

          2p-2p > 2s-2p > 2s-2s

Why the extent of overlap is more in 2p-3d than 2p-3p?

The order of overlapping strength of orbitals is given as:

2pπ-2pπ>2pπ-3dπ>2pπ-3pπ>3pπ-3pπ.
The strength of π-bond is directly proportional to the overlapping strength of orbitals because on greater overlapping distance between two nuclei decreases and bond strength increase hence order of π-bond also given as:

2pπ-2pπ>2pπ-3dπ>2pπ-3pπ>3pπ-3pπ.

2pπ-2pπ, π-bonding is stronger than 2pπ-3dπ, π-bonding due to the lower energy gap (n=2) between them.
The importance comparison is in between 2pπ-3dπ and 2pπ-3pπ. The overlapping strength of 2pπ-3dπ  is more than 2pπ-3pπ this is due to fact that , the 3d orbitals have two lobes which are more bent than 3p orbitals. That why overlapping strength increase.