1 – What are the exact specifications for those capacitors?
As far as I can read they are both 100n X2 filter capacitors. This information and the length between the legs of the components should be enough knowledge. X2 is very important in this use case to my knowledge.
And please be aware that there are risk of getting electric shock when working on a power supply even if it is disconnected as the large electrolytic caps can still hold a charge.
2 – Where can I buy them (I’m located in Denmark)?
If you wan't to buy them locally there are places like Elextra and Elektronik Lavpris, but the component can probably be found elsewhere also
3 – Are there other components that most likely will have failed at the same time?
A known issue is a super capacitor on the large PCB that might start to leak and make some trouble with the IR circuitry. I did a replacement and repair in this thread
https://forum.beoworld.org/forums/topic/beoplay-v1-not-turning-on/page/2/#post-55660
If you are more lucky than me and get away with removing the supercar without board damage you might just have to clean up any leaked stuff from the capacitor. Be aware that the supercap is difficult to desolder because there is a massive group plane in the board in this area that will suck the heat away from your soldering iron. An easier solution might be to just leave the legs in the board, and solder wires to a new supercap and place it in the expansion bay like I did.
You can try to inspect the area that are below the supercap in normal position to get an idea about any leakage. I have yet to have issues (and have not yet inspected) my primary V1 which has been in normal use for around 12-13 years now, so it might not be an issue.
4 – What could be the reason for them blowing up?
Try to search for RIFA cap failure. This is a very common issue with these components. I would not be afraid to replace them with the same brand again. They should probably last for another good period of time. Use plastic gloves when handling the caps or you will have the smell on you hands for days or weeks afterwards. Also the TV might keep the smell for some time, but it will eventually wear of.
Hope this helps going forward with the issue