In the first image the caps are labeled C419 and C402 (I can't decipher the name of the third capacitor). Are these the capacitors you replaced?
The service manual bullfrog linked says: C402=C419=15pF/6kV
Considering the "caution, high voltage" marking on the PCB (image in first post), this is much more logical than 35V 470uF.
If the OP has been replacing components on the secondary side of the transformer then yes replacing them with 35V caps would be wrong. And is most likely to have caused his replacements to explode.
The high voltage section of the board is the area contained within the dashed lines on the left hand side of picture 3 where it says caution high voltage.
C402 is over on the left hand side of the picture within this marked area by the CCFL connector, this looks like the original fitted part (picture 3) , this doesn't appear to have been changed. There is no sign of the OP soldering that component on the reverse of the board
His soldering appears to be over by the mounting hole top right of first picture - cap C203 which is on the primary side of the circuit the 22volt side or if you believe what is on the description of the CCFL invertor - Page 10 section 2 of the manual then it's actually 18Volts that generates the required 700VRms. However there is so much muck and gunge over in that area it's hard to tell what's going on. Some Isopropyl alcohol or a proprietary PCB cleaner would improve matters both from being able to see what's happening and also to ensure that there isn't something adversely affecting the circuit.
Picture 7 (second page of pictures) indicates that he has replaced C301 which is 470uF 35V and C207/C297?? . According to the diagram in the service manual C207 is NC top right where it shows 22V/1.1Amp with arrow pointing upwards - I assume NC means not connected.
Actually I see C206 isn't fitted - over by mounting hole , but J38 is fitted and L201 isn't fitted so electrically position C207 and C206 are in parallel anyway, so a 470uF 35Volt cap in these positions C301, C207, C301 would be correct.
Perhaps the OP in addition to cleaning the board , should confirm which caps he's changed as in their circuit referance number.
Bullfrog