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If you already have a visa, chances are, you will be allowed to enter the country without a problem.
I haven't heard about any official refugee protection scheme in India. I am a Sri Lankan too and I stayed in Sri Lanka during the war era. It's unlikely that you will be able to negotiate the overstay to a refugee protection or something similar.
Having overstay records in the past is not necessasarily preventing you from entering that country. But the officers will be a little more careful when reviewing your immigrant paperwork.
Enjoy your wedding and I wish you both a very happy wedded life!