Forum moderators are chosen for their understanding of the rules, their maturity, and community presence. If you think you're moderator material, then keep to the previously listed standards and eventually you will be noticed and likely contacted. If you don't, you can still be a valuable member of the community by actively and responsibly using the report function to report posts that violate our forum rules.
The moderating team as a whole works in an unbiased fashion as you've requested. In my personal opinion, the volunteers on staff right now are one of the most professional and proficient teams we've ever had. That said, all members are encouraged to contact an administrator if they feel a moderator isn't doing their job properly. They look into it - promise.
The only thing that will revitalize the tavern, or the clan section, or the The Art Gallery, or the RS Media subcommunities that we have that aren't as active as they used to be is community initiative. Those are the sorts of things that draws new people to you. You don't need a moderator tag next to your name to help you do those things, and if you contact the moderation staff they'll help you with whatever you need. If you want, I can tweet your RP sessions to Tip.it's official feed; an administrator would likely help you if you presented a well written request for front-page notice for any rp session (possibly); you could get in contact with a Tip.it Times writer and either collaborate or submit a guest article about roleplaying in runescape and work the tavern into it if you'd like.
There's no end to the possibilities. The staff's not out to block you in these things -- we're here to help. So just drop us a line if you need us, respect the forum rules, and keep a strong presence in the community if you want the Tavern to live again. But a rank won't be a magical cure-all.