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You already have plenty of credit cards. Getting more cards won't in itself help your score.
What would help is paying off almost all of your CC debt. You'd want to have all cards reporting zero except one (AZEO) with the remaining card reporting a small balance, like $10 or so.
If you don't have an open loan of any kind, the Share Secure Loan Technique would be a good fit for you. You only need to read the first 2-3 posts in that thread:
Working with the folks in the Rebuilding forum on getting all of your derogs removed would be a good idea.
Finally, you ask whether it would be a good idea to increase your spending a huge amount (specifically on your quicksilver card). I think that would be a bad idea. I think you should sharply reduce your spending so that you can pay off your debt, and then keep your CC debt extremely low while saving a lot of money. There are almost no situations I can imagine where a person should try to increase his spending in an attempt to improve credit: (a) it won't work and (b) it hurts you financially.