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Would Chase close my Apple account in case they take over as I have not been able to open a checking account with them with out any explanation.
Credit cards, auto loans, checking ect. Are all different divisions. I have a Chase auto loan. No card for a BK. Doubt it.
I think you should be fine. I tried opening a Chase Checking account online while I was traveling abroad last April. I initially got locked out of all my accounts but called the fraud line and then they asked me a long series of questions and then everything was fine ( checking acct appeared in my app). Well, since I was still abroad for work for a few weeks, evidently, they sent a follow up letter to me in regards to the account. I didn't know that letter had been sent until a few weeks later. As a result, they closed my checking account basically implying I may have opened it fraudently. I panicked and assumed they might shut down my cards but it never happened and I'm still using them without issue over a year and few months later. I think you should be ok.
The deal you're referring to between Apple and Chase is still ongoing and no details about the course of action they'll take when reviewing and acquiring accounts has been determined or at least publicly provided.