Within reason, Voltage doesn't mean too much to LEDs, Current is what you need to keep your eye on.
You need a solid constant current flow that is rated BELOW your LEDs current max.
Seeing how there is no current regulator installed, you need to check the current with the bike running and off idle.
Those LEDs probably have a low current rating too.
( 2-pin LEDs such as those are not high power, so they are weak. They also have a more direct light output which is bad for a tail light )
I'd highly suggest wiring in series. This keeps voltage down and keeps current same in all the LEDs in that leg of the circuit.
By running in parallel you are dividing current but keeping the voltage the same ( and in your case high ) by running in series, you can keep current the same through that "leg" and voltage drops at each LED.
But either way you should figure out your max current values and redesign the board to fit that.
I've been there, my first light didn't look much better.
But once I realized the importance of current regulation, I went back and spent a LONG time redesigning the whole circuit ( current regulation and other safety circuitry ).
Oh and if your popping a fuse, it's either
#1 a direct short or #2 your fuse is too small.
Good luck!