No, you won't have problems. As they say it in their TOS that one personal and one business account is allowed then why do you think there will be a problem?
No, I have not tried this, but I hear people who have. You just need 2 bank accts.
Not true. You don't need 2 bank accounts to have 2 PayPal accounts. You just won't be 'verified' if you don't submit bank accounts for each PayPal account.
I actually have two accounts. One is an unregistered personal account and another one is a verified premiere account. I inform Paypal that I own that two accounts. I use the unregistered personal account to accept micro Paypal payments.