The marriage ceremony pictures you have may serve as evidence to support your allegations of bigamy and cheating. However, the court will consider all the evidence presented before making a final decision.
Regarding the jurisdictional issues, it is true that the court where the offence took place has jurisdiction over the matter. Therefore, it would be advisable to file the private complaint in the court where the second marriage took place (Kushinagar, UP).
If you are concerned about your safety while traveling to Kushinagar, you may consider hiring a local lawyer to represent you or requesting the court to conduct the proceedings through video conferencing. You may also seek police protection while traveling to Kushinagar.
Regarding filing the complaint in Allahabad, you may approach the Allahabad HC to seek transfer of the case to a court within their jurisdiction. However, this may depend on the specific laws and rules applicable in the jurisdiction. It is advisable to consult a local lawyer in Allahabad to determine the appropriate course of action.
As for filing a writ petition, it may be possible to file a writ petition in the Allahabad HC if you can establish that your fundamental rights have been violated or if you can establish that there has been an abuse of process by the authorities.
It is important to note that filing a private complaint involves certain legal procedures and requirements that must be followed. Therefore, it is advisable to seek the guidance of a competent lawyer to assist you in filing the complaint and navigating the legal system.