Welcome to the site !!
You can run either the Synthetic or Petroleum , the choice is yours and either will work fine , the Synthetic allows you to go longer between changes , so that is a plus , as far as Tranny oil , if the specs of it fall within what the manual says is a requirement , it should be fine for both , what you are looking for is JASO and MA on the label ,,, if it says it meets those standards it is most likely fine to run ...
As far as tires go , they are kind of subjective , my personal opinion is Dunlops seem to wear faster than other brands , at least with big bikes they do , as soon as they lose the new edge , they seem not go grab well , and get worse as the tire wears , at least that has been my experience , I have had good luck with Bridgestones and Michelins as far as longevity and decent traction (I run Battlecross X30's for hardpack and dry , I run Michelins Starcross 5 Soft for loamy deep wetter conditions , but never for hardpack or dry , but riding hardpack which is I guess what you will be mostly in , so you want a hard pack tire , the issue is , the harder the tire compound , the less traction , so if traction is a concern , you might need a medium compound to get the bite , at the sacrifice of a little longevity compared to a hardpack tire compound
You might even consider IRC , they are usually great desert tires and last forever and usually less expensive than most other brands ....