When you close a business on paper you don’t suddenly lose access to services in the name of that business.
Yes you do. Your bank account is in the old business’s name, and any lines of credit you have will be in that business’s name as well. Doing anything for a new business is harder than for an established one. Once you explain “oh yeah I did own that one, I just changed the name for tax purposes” you sound like a scammer.
Banks and suppliers (good ones) are not going to waste their time figuring out your scheme. They will just drop you.