I suggest that you (and the other tenants) start looking for alternate premises, even if as a 'just in case'. It's quite possible that things will continue to be like this (or get worse) until the landlords get into a financial situation where they can't get the power back on or end up in foreclosure. It sounds like you need to be proactive.
If your lease is with the LLC and rent payments are to be made to the LLC, you can run into problems if you make out your checks to one of the owners of the LLC who then diverts the money to his (or her) own use. If Mr. Landlord wants to collect the rent personally, and that's not inconsisent with the lease... that doesn't seem like a big deal. But if he's saying "Make the check out to me, personally - Mr. Landlord - not 'Shopping Center, LLC' like it says in the lease", I would be very wary that he's planning to divert the money and that you could find yourself subject to a claim for unpaid rent by the LLC.

