His launcher can be punished with a throw if timed correctly and not pushblocked.
In general some of the best ways to punish Wesker are to punish his L teleports, which have enough recovery to punish with a light/medium depending on the throw. He can cancel his L teleport with THC however and if your opponent has a character who’s THC super is invincible e.g. Spencer you can get punished.
You can attempt to throw him out of his H teleport, though he can tech it. Try to do it when you know he’s coming down with a j.:s: if he’s not in X-Factor or backed by an assist.
You’re also playing Hawkeye, so zone him.