Shrimp Fried Rice is a nice easy recipe that I make all the time.
Absolutely no need to pre-cook your shrimp unless you're more comfortable doing so.
I know everyone says "once the shrimp turns pink it's done", but that's not always true, especially if you're using really large shrimp. Once they turn pink all over, pull one out, cut & test it if you're unsure that it's done. Real easy to tell a cooked from an uncooked shrimp that way, & an easy way to help you tell cooked from uncooked without cutting into one in the future.
If you're still uncomfortable using uncooked shrimp in your dish, there's nothing wrong with using pre-cooked shrimp. In fact, Shrimp Fried Rice is something I frequently make when I have leftover cooked shrimp from another dish, or need a dish in a hurry & have frozen cooked shrimp in the freezer. Just remember to cut back on stir-fry time if using cooked shrimp in your recipe.