Now the important bit, the fault codes.
I think it will be worthwhile to have a VCDS scan and post the results here, have a look at the Free Scan Register in the Diagnostics subforum, there is a member not too far away. You will be amazed at the faults it will find and need fixing!
First the P1030 fault. (Yes Mac it is, top left of the picture).
I do not know how much you know about this fault, there is hours of reading about this fault here on the forum, Mac's suggestion above is a good place to start. In case you are unfamiliar a very brief summary.
As you are might be aware for reasons of efficiency in modern engines part of the exhaust gas is recycled back through the intake manifold. Over time this dirty gas coats the manifold with carbon which leads to seizure of the flap mechanism within the FSI lower intake manifold. The usual scenario is the arm of the vacuum actuator that is trying to move the flaps breaks.
First step is to simply check the arm of the vacuum actuator moves, details in the P1031 thread. You may be very lucky and find the N316 valve which is instrumental in moving it has failed and this the cause of your P1031 code, easy to fix and not much cost £45ish. Much more likely is it will move, indicating a healthy N316 and I am afraid this means the manifold will have to be stripped and cleaned, usually requiring a new vacuum actuator.
The cost of a professional repair will not be cheap which is why so many FSIs EMLs have been nobbled to hide the fault to pass the MOT and then sold on, but it seems you tinker and a DIY repair would normally be just over £100, quite straightforward by all accounts just takes time, take the pressure off yourself and choose a time when you do not need the car for at least two days.
If you intend to keep the car long term then while the manifold is off an opportunity for long term maintenance items, injector clean, death pipe replacement and new thermostat housing plus thermostat and coolant temperature, but this adds more time and cost say £250.
You ask about P1031 and ProBoost. I would advocate the repair first since ProBoost assumes the flaps are fully open and if they are seized shut or part open then how this would effect performance with ProBoost I do not think anyone knows.
In the meantime I do not think running the car with P1030 is damaging your engine, you are just losing peak performance and mpg.
Sorry to ramble on so long, just trying to help.
Andy