No Jabo, you've got it wrong. Since flow is the same through all components in a series system, order will not affect their performance. It is true that the first bit will have higher pressure (at both inlet and outlet), but the pressure drop across it is what is related to its flow rate. I think you are looking at the pressure relative to atmospheric, and thinking that higher pressure there implies higher water velocities, but what matters in the delta-P from inlet to outlet.
And Bernoulli's equation is about energy conservation - the conversion of pressure energy or kinetic energy or gravitational potential energy into an equal amount of one of the others. It also relies on conservation of mass indirectly, in that it is built on conservation of volume of an incompressible fluid.
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