Does a blueshift change the energy of a photon? The energy of a photon depends on its wavelength, so theoretically when it is blueshifted it should have more energy right?
Then what if a spaceship with a solar panel on the front is traveling towards the sun at relativistic speeds. An incoming photon undergoes a blueshift from the observer on the spacecraft. So does the solar panel read the same energy as if the light wasn't blueshifted? I see two options here: 1. Either the solar panel reads two different numbers depending on the observer. (almost like 2 realities exist) 
2. Or it reads the same because the energy of the photon is not actually based on wavelength 
To keep it simple let's imagine we're only talking about one photon, because time dilation might affect the power level the solar panel was reading.
 A: Yes, blueshift increases the energy the observer receives from the photon. An analogue would be a ball thrown at a moving car - the hit will be much harder when the car is moving towards the ball than when the car is moving away from the ball.
The second part of your question can be read in two ways:

I see two options here: 1. Either the solar panel reads two different numbers depending on the observer. (almost like 2 realities exist) 2. Or it reads the same because the energy of the photon is not actually based on wavelength.

Interpretations:


*

*"Do different human observers get different readings from the same solar panel?" No. There are no quantum effects here. Only thing that matters is the velocity of the solar panel relative to the photon.

*"Does moving solar panel get a different reading than a stationary solar panel?" Yes. The photon will give more energy to the solar panel that is moving towards it, because of blueshift.

A: Yes.
Energy depends on frequency. An observer on earth and an observer on a relativistic spaceship moving towards the sun will see different frequencies due to the Doppler shift. This means the different observers will record different energies for the photons coming from the sun. 
While it is a bit surprising that the relative velocity between the source of light and an observer of that light changes the observed frequency, this does not lead to the conclusion that there are "two realities".
Incidentally this doppler change in energy is leveraged in Doppler Cooling to laser cool atoms to $\mu K$ temperatures. The idea is that a laser is shot at atoms which is red detuned from the atomic transition wavelength (not resonant). If an atom is moving towards the source of the laser beam it will see that laser as being in resonance and thus will absorb the photon. This absorption will cause the atom to slow down a little bit. In contrast, if the atom is travelling the opposite direction it will see that beam red shifted even further so it is even less likely to absorb the photon. By pointing laser beams in towards the atom at all directions the atom can be slowed down because no matter which way it moves it is moving towards a beam so it always slows down.
Of course you can't use this to cool an atom indefinitely because eventually other heating effects take over and a final temperature is achieved as a balance of laser cooling and these heating effects.
A: The energy of a photon is related to its frequency or wavelength. However the energy is a conserved quantity in a specific reference frame, but it is not an invariant. Another reference frame in relative motion vs. the former measures a different energy.   
In the example the observer on the spaceship approaching the sun experiences the blueshift of the solar photons. The solar panel on the spaceship reads a higher energy of the solar radiation.
A: What the previous answer didn't state (at least not obviously):

Yes.

$E = h \nu$ remains true whatever happens. 
