Personally I would be looking to match the Goodyears. Rapid are a Chinese brand made by the Shengtai Group, their marketing blurb tells us that they offer unrivalled performance at a price you can afford, for me that reads as potentially "ditchfinders" sounds a bit harsh I know but tyres along with other safety critical items on the car are one area I never, ever compromise on. I suspect that the Shengtai Group will have been making industrial tyres for a long time but are now breaking into the domestic market. Of course it isn't that long ago that the likes of Khumo, Hankook and a few other now premium brand tyres were viewed as cheap, budget tyres, so perhaps I am being overly critical.
Looking at the sizes you have given,there is a little bit of a conundrum for you, it goes without saying that the Goodyear Eagles are a great tyre but unfortunately whoever had them fitted had the wrong size fitted, on the 16" rims the tyres should be 205/50 and not 205/55 so somewhat ironically the budget brand are the right size. Again for me I'd be getting shot of the budget brand and getting the correctly sized Goodyears up front nd when the rears wear out just ensure that you get the correct profile tyre fitted.
After all of that, welcome to our friendly forum, you might want to pop over to the new mmbers section and give us an introduction, we also have a fondness for photos of the members cars.