First, banks are not allowed to do a "hard" credit request for opening an account. Next, where there are further shops that are for only "existing" customers of that bank, no problem with going back and opening accounts for those shops. The one thing to remember, though, is that monthly fees may accrue to you IF there is no monthly direct deposit OR you do not make a very large deposit and hold that in the account for some set period of time OR you do not qualify for a "no fee" senior account. So, as usual with MS work, a little due diligence will be necessary. In some cases the MSC or client will reimburse those fees for the time that you may be required to maintain the account.
Based in MD, near DC
Shopping from the Carolinas to New York
Have video cam; will travel
Poor customer service? Don't get mad; get video.