Instead of remaking an old RE game, they should just make a new one.
A sound suggestion, but with one minor problem. Since RE4, Capcom have been endeavouring to recreate the success of that game with minimal success, e.g. Resident Evil 5, Resident Evil 6, etc. From their perspective, "making a new game" would not be the correct avenue to go with the series. However, the somewhat recent announcement of a Final Fantasy VII remake at E3 - which generated a lot of hype - no doubt motivated Capcom to take a look at their earlier titles and see if any were popular enough, and low and behold, Resident Evil 2.
It just isn't viable for Capcom, based on their last two numbered releases, to develop a new title when remakes are growing in popularity. Look at the HD remastering for REmake, it was a commercial success and that's another important factor. I get that you're not a fan of the earlier games and given your age, you likely never played through them from beginning to end, so here's how you could approach the concept of a remake: See it as an opportunity for you to play a classic numbered title in the series with all the spit and polish you've come to expect from this MLG Doritos Mountain Dew Geoff Keighley age of gaming we live in today. You might like it.
I don't care if you older RE fans hate the recent ones
On the contrary, I did enjoy RE5 though I know a large proportion of the community were not fans of that particular game at all. That said, it's not about the older fans not caring if the younger tweenlets think we hate the recent games, we don't care about you in general but that's beside the point. We care about the series, and we want the series to continue to be a success and most importantly, to be fun. Games are meant to be fun and if a game doesn't achieve that aim then it's garbage, just like RE6.