It looks like you almost got it. I think you added too much blur though, the rain should look a little sharper. You could maybe make it look better by duplicating your rain layer, sharpen it and set it to linear dodge or soft light (I just play around with settings to see what looks best)...adjust the opacity if you need to.

If you're having trouble with making your own rain effect, you could also look up stock rain textures that other people have made. There's a lot of great resources out there just waiting to be used. :]