Luca,
Since R1071 is burning, C1071 is bad. This is one of those RIFAs that needs to be changed out with new. This type can be 630V type film. The two that need to be an X1 or X2 type are C1016 and C1018. The RIFAs are clear amber colour. There are several on the power supply board. Replace all of these! C1034 and C1066 are known to be open. I replaced these with R82 series 4,7mfd 50V film types. There are other condensers and resistors that should be replaced. If you want a list of parts to rebuild the supply and other parts, ask.
Mark