Answer:
My first is a creature whose breeding is unclear. My second, a price you must pay. My whole can be found in the river of Time and refers to events of today.
What word starts with 'E', ends with 'E', but only has one letter? It is not the letter 'E'.
I run through hills. I veer around mountains. I leap over rivers. And crawl through the forests. Step out your door to find me.
What goes in, but never through? I've got some and so do you. We might lend one, or even two, but only if our trust is true.
I can be moved. I can be rolled. But nothing will I hold. I'm red and I'm blue, and I can be other colors too. Having no head, though similar in shape. I have no eyes - yet move all over the place.
This food is a tortilla filled with cheese and sometimes chicken before being heated or cooked.