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You can estimate a population's size when counting individuals if the density in a sample is greater than the population density.
A population with a death rate greater than a birth rate has a declining population.
It increases.
No.
First you have chose an estimator for what you want to know about the population. In general the level of variability in the result that any estimator provides will depend on the variability in the population. Therefore, the greater the variability in the population the larger your sample size must be. You will also need to decide how much precision is required in your estimate. The more precision you require the greater your sample size will have to be.