I wanted to know whether I can marry again here and whether the court/registration process will find out about my past marriage. I cannot afford to tell my mother or anyone about my past. If i register my marriage with the groom whom my mother is selecting will it be possible to register it in Kerala without anyone finding it out?
Legally it is invalid. You cannot marry another person if your previous marriage subsists on the date of the proposed second marriage. You better try to contact that person and arrange for a mutual consent divorce after which you can go ahead with the present proposal.
Though the registrar at Kerala will not find out the previous marital status, you are required to give a declaration while marrying another person that there is no previous marriage subsisting at this stage and the same has to be declared in the application for marriage registration.
Therefore if your lie is detected at a alter stage this marriage will be declared null and void.
How can I get a divorce when i have no address of him or the documents? Should i go to Delhi again for this?
You can get a copy of the marriage certificate from the registrar's office at Ghaziabad, file a contested divorce within the jurisdiction of ghaziabad, get at least an exparte divorce decree after which you can proceed with the newly proposed marriage.
Also my mother is looking for grooms from outside India, so if I marry here, i will need the certificate here for visa application as well.
How can i resolve this without telling anyone?
You can take the assistance of some of your friends to effectively do all these without informing anyone at your home.