My only experience with BoA CC was their Travel Rewards card that I opened last october, and they AA'ed me a few months later and closed it. They gave me a $3,000 limit, which at the time was my highest limit, before NFCU blessed me with a $18k limit on a 2nd card. I had the card for probably like 3 months, and had about a $1k balance on it (0% for 12 months promo), and then I let my NFCU card report a $12k balance (all reimbursed work expenses, not a shopping spree lol, and I mis-calculated my statement cut off date so it hit) and literally the next day after that balance reported, I got an e-mail that bank of america was closing my account as part of an account review. I guess they are very sensitive during the first few months of the account.
People will always argue whether or not a bank account with a lender prior to a CC app can "help" or not. One thing is for certain though, it can't hurt. Assuming you treat the bank account well (don't overdraft or anything) it can only help.
As for the other questions, those should be left to those with BoA cards. From what I understand though they've recently moved to SP CLIs and some people report getting them as frequent as 3-4 months and many monster limits have been arrived at on this forum from multiple healthy CLIs on BoA cards.