Ash and Red are very similar, both have a Pikachu partner, both have a similar hat, just Red's doesn't have the logo which is moot being from the back. The main difference is that Red has a red jacket, and Ash has a blue jacket and this is most definitely a red jacket.
I hope this link works, but this should clear things up- [link]
It's quite alright, I don't know (nor care to look up) which came first, the games or the show but they were designed to be very similar, just like Blue is very similar to Gary. Red features in the games and the Pokemon Adventure (I think) Manga, which I haven't read, but in G/S/C/HG/SS after the player beats the second E4 they get to challenge Red on a mountaintop as like the final boss and since Red has been portrayed (At least the way I see it) as the more mature Ash, like what Ash could've been.
You have no idea how excited I am to open this, it's going to be the first thing and best thing I open I already know it. Eveyone's gifts were so amazing you must have spent forever on them! Thank you so much.