New Rutgers Sorority is on Fire!

[PiRhoPres]

Hey I just thought it would be good to ask some questions from people who know more about these things then I do. My sisters and I were in a very bad situation for some time at another local sorority. We all loved each other, but did not like the way the group was particularly because it involved founders who gave power to one person who didn't know what they were doing. Five of us left this one and decided to make one of our own. This was probably the best choice we made since we have done more in weeks then the other one did in years. We pledged a Beta class last week of girls we were overjoyed to have. So I just am starting off with a few questions.

Can we take new letters after giving up our old ones in this new group?
What are some things we can do to get good publicity right off the bat?
What is a good way to create a relationship with other greeks on campus with out looking like we're kissing up?
How do we go about inviting them to mixers?
One of our main reasons for leaving was that our old sorority wanted nothing to do with other greeks which to us made no sense.
What are some things that are the prime elements of every greek organization? I'm pretty sure we have a good idea, but we don't want to miss anything.
And lastly what aspects of our organization should never be told to non-members? Were all really confused about that.
Also I was wondering if locals ever got involved in stuff like Greek Week and step shows?