How to solve the problem of feul lights flaching when riding

Have you checked what the user manual says? That's usually a good place to start. It's possible that the flashing red light is just indicating that charging is taking place and therefore there isn't a problem.

This may help;
P0300 Diagnostic Code Random Misfire

This bike has fuel injection and will not start if the battery is flat or has a low charge bumping it will not work
if you have had cold weather over the last five months I would expect that the battery is dead and will need replacing
when you have replaced the battery it should be fine

SOUNDS AS IF INJECTERS NEED CLEANING.
FIRST STAGE LOAD YOUR FUEL TANK UP WITH SOME INJECTER CLEANER AVAILABLE FROM ANY MOTOR *** SHOP AND RUN THE ENGINE. IF IT'S AS BAD AS YOU SAY YOU MAY NEED TO USE DOUBLE OR TRIPLE STRENGTH. IF THAT DOES NOT WORK TRY REMOVING INJECTERS AND SOAK THEM IN THE SAME NEAT FLUID. ALSO HAVE YOU CHECKED THE ELECTRICS TO THE INJECTERS AND ALSO THAT THE PLUGS ARE CLEAN AND SPARK UNDER COMPRESSION.

It sounds like the timing is off or a bad timing belt/chain.The dieseling effect is usually due to excessive carbon buildup inside the combustion chamber.Try a fuel injection service to see if that solves the problem of the pre-ignition.

start checking fuel pressure easier then changing pump re check that all is plugged in by air cleaner

dont know what your rideing but if you need help it wouldnt hurt to put more effort into describeing your problem but let me geuss you used the power commander remapped your feul and now it runs ok but the idiot light stays on if your bike is equipped with o2 sensor it is designed to trigger the idiot light when it senses the fuel mixture has changed i believe there is an upgrade for that ck with dynojet at there 1 800 #

dear friend-take note that you have two feul floats in the tank one works from full to half and the otherside from half to empty.

Suzuki Bandit 250 1996 model has a ******* caburator, pl clean the caburator and ride daily,when you ride the bike pl continue the rpm level between 4 and 6, dont take suzuki brand again pl goto next time honda brand..honet... etc...................................

No it is not unsolvable problem, i have fixed my problem by flashing with basic firmware and now it is working much better than previous. so flach it.