In which phase is the maximum growth rate observed?

Given below are two statements.
Statement $I$: Under unlimited resource conditions,every species is capable of growing exponentially.
Statement $II$: $A$ population growing in a habitat with limited resources initially shows a very slow rate of growth.
In the light of the above statements,choose the correct option.

Which one is correct for the logistic model of population growth?
$I.$ Population growth rate increases as the size of the population approaches the carrying capacity.
$II.$ All individuals have the same effect on population growth.
$III.$ There are unlimited natural resources.
$IV.$ As population increases,the competition goes on increasing.
Select the correct combination.

$A$ population of $500$ experiences $55$ births and $5$ deaths during a one-year period. What is the reproductive rate for the population during the one-year period?

The human population growth curve of today is:

Identify the phases of the Verhulst-Pearl logistic growth curve in sequence.