I'd guess that your desk is of somewhat modern , but vintage , manufacture ... It clearly appears to have been spray-finished by the manufacturer (sure looks like 'overspray' in some of your pics) , which is prone to give a clue about its' age .
Considering that some decorative (& other) elements have been simply nailed &/or glued , rather than joined , I'd keep an eye on the joints & reglue any loose ones , as years go by .
Like you & mart say , it's better to not have a 'divorced' set !
The side of a posted-image drawer appears to be oak ; I'd speculate that some of the other wood in your desk might be fruitwood of some type .
My first glance at the image (too fuzzy for my eyes) of the front detail said it appears to be flame walnut ........
Need to go rest my eyes .