Ask if you are being placed in a terminated merchant file (TMF). The TMF lets other processors know that you had your previous account shut down and makes it harder to find a new PSP or acquirer. The TMF blacklist is managed by Mastercard, which calls it MATCH, for Member Alert to Control High-Risk Merchants. Your acquiring bank is responsible for putting you on the list and can do so for reasons as varied as excessive chargebacks, excessive fraud, money laundering and other activities.
If you get placed on the MATCH list, it will be much harder for you to find a new PSP. You will probably be forced to go to a processor that specializes in high-risk merchants and pay higher fees.