The problem I see if we enter a hype campaign now is that people will criticize the old points - "naive" proof of stake algorithm, old code, centralized checkpoints. If you follow the discussion about the viability of proof of stake (nothing at stake problem etc.), Peercoin's current protocol is probably simply not secure for the long term because the PoS participation is too low. And people will criticize that. So we could achieve a short pump but nothing more.
Thus my opinion is - be patient, prioritize development for now, above all of the cold-minting feature which could make the centralized checkpoints obsolete as it will expand and stabilize the validator set, and stay in contact with current proof of stake research adopting the best and relevant improvements. So the critics will have one point less. And, of course, continue with PeerAssets.
Now to marketing: What exactly do you want to change? I believe, for example, that the website isn't bad, it is well branded and looks pretty good (better than the Bitcoin website, and also better than these "generic" sites of other top altcoins like Ripple or NEM which look like a simple Wordpress theme), maybe it could have some more infographics and a slight refresh of visuals but imo it really needs nothing more. There is a Peercoin blog on Medium, Twitter accounts etc. What would you add? This is a serious question, there is always space to improve.