Do pharmacodynamics and pharmacokinetics of the drug in animals are the same as in human?
Drug metabolism in humans is different than animal models.

Here is one example: http://www.ncbi.nlm.nih.gov/pubmed/17125407

The link is a review where they compare different animal models to humans with a focus on CYP enzymes commonly involved in drug metabolism.  While they describe similarities, they note: 


  CYP2C, -2D and -3A show appreciable interspecies differences in terms of catalytic activity and some caution should be applied when extrapolating metabolism data from animal models to humans


Essentially your instincts that different species have different pharmacology is accurate and based on the many genetically-based differences in the drug processing machinery.  

Similarly, there are differences in drug metabolism between humans with different genetic backgrounds, which is the basis for pharmacogenetics (https://en.wikipedia.org/wiki/Pharmacogenetics).

More recently, differences in gut microbes have also been raised as contributory factors (http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3529681/).  In this case, identical twins with different diets could conceivably have different pharmacokinetics.


  Tying this all back, the reason human drug trials are needed is because animal and tissue culture models are necessary, but insufficient to predict drug efficacy or safety.