As for your RBC, I'm going to give it the "yawwwwwn" response. It's unremarkable in my opinion. RBCs that are slightly elevated are not an issue in my opinion unless repeated tests over several months indicate increases. Polycythemia is one condition that can occur, which is a myleoproliferative disease wherein red blood cells overpopulate and cause afflicted patients to have predisposition to clots, strokes, etc., but I can tell you with a great deal of confidence that you have no need to worry. You don't have it. Take a breath and relax.  

Secondly, when RBCs are slightly elevated it only follows that platelets will most always be elevated as well, which are the "sticky" sort of cells that bind to sites of injury to reduce bleeding. It's important to realize that depending upon which lab runs the tests, the norms can vary to the extent that you're normal by one indication and in trouble by another.

RBC is not a test performed in isolation as well and the relative indices for a CBC,  Mean Cell Volume/MCV, Mean Cell Hemoglobin/ MCH, Mean Cell Hemoglobin Concentration/MC, tell a whole lot more about what's happening.

Let's talk about the common things that can affect RBC count; smoking, changes in altitude, exercise, increased iron intake from multi-vitamin with iron, stress and the NUMBER 1 cause we see in a slightly elevated RBC . . . . mild dehydration. And take a guess when we most often see this manifestation? During winter months. Yes, that's right. The body actually loses more water content during to colder season without awareness, so it's important to stay hydrated. Yadda, yadda yadda. See? The mere fact that you have an elevated RBC doesn't even raise an eyebrow.

Increase your H20 intake, eat a normal and healthy diet and exercise. You can certainly run the labs again as your primary physician suggests, but my guess here is that it will amount to nothing.

You're fine. Go have lunch with the girls and tell funny jokes. Life awaits you.

Best regards and Good Health