First print with my R2000

The profile should have installed with the driver.

Regarding Perceptual rendering, Relative Colorimetric is usually better unless you have out-of-gamut colors.

Your HP was a dye printer, right?  Glossy is the one type of print where a dye printer will almost always do better.  The R2000 should come very, very close, however.  And when you start using art papers, the superiority of pigments should become aparent.