What population?
Perhaps you mean if there were no variation for natural selection to select from.
Genetic variation. If there were no variation in the genes/phenotype then natural selection would have nothing to select from.
It has not reached carrying Capacity
Yes it does. Without variance in the organisms genome, that gives variance to the phenotype, there would be nothing for natural selection to select from.
Natural variation in artificial selection is used because humans choose from among the naturally occurring variation s in species. Natural selection is related to species fitness because Darwin called natural selection survival of the fittest because those that could survive would carry their species on there for being the naturally selected.
How it changes in response to its environment.
What would be selected if organisms did not have differences that lead to better survival and reproduction, or the opposite. That is all natural selection is.
Genetic variation. If there were no variation in the genes/phenotype then natural selection would have nothing to select from.
This would occur when organisms showing many genetic differences caused by mutations and genetic recombination reproduce in a changing environment.
There is no need for it to occur. Only if the environment changes and less food is found would there be a change. The environment selects the birds that do the best under the new conditions and the others will die.
Without variation it would not be selecting, just random death of identical units.
The population has not yet reached the carrying capacity.-apex :D
It has not reached carrying Capacity
Directional selection
Yes, that would be called the Homologous structure, and that changes in natural selection.
What would there be to select from if all the organisms in a population were not different in morphology and behavior. Some of these differences are reproductively successful against the immediate environment, and that environment is the natural selector.
There would be no adaptive change due to natural selection and only genetic drift due to random events and gene flow due to population mixing would occur. Alleles would change, but without reproductive variation speciation could not occur.
Neither. Lamarckian evolution does not take place at all; almost all of his concepts are now known to be incorrect. The population will still undergo mutation, and natural selection for beneficial mutations and against harmful ones will still occur.