If I remarry how does this affect  Social Security payments that I receive?
If you remarry you will still continue to qualify for benefits on your deceased spouse's Social Security record.
What happens to the special lump-sum death payment if there is no eligible surviving spouse?
The lump-sum payment can be paid to the worker's child or children if, during the month the worker died, the child was already receiving benefits on the worker's record or became eligible for benefits upon the worker's death.