Pilotx - I would say your EQ score is good. Do you know what your EX or TU FICO scores are?
Before you start opening up alot of accounts, I would try for quality, rather than quantity. 2 or 3 rather than 5 is preferable in my opinion. You should try for cards with higher limits, rather than more cards with lower balances.
Why so many consumer finance accounts? Does this have anything to do with your 7 student loans? Why so many?
You need age more than anything else, and that will take time. Remember than new credit inquries and accounts will temporarily ding your scores, so you don't want to go crazy with new credit applications.
Also, start using that credit card immediately, but keep the utilization % as low as possible. But you need to use this card.
I am sure others will post their comments and recommendations.