That is def brown patch. IMO, get a CPO out ASAP to treat the BP. You may be surprised how much you can salvage. Once the BP is not spreading, I would put down a K heavy with slow release N to get lateral growth going. You want fill in. Quick release N will only exacerbate the BP problem. I would also have the dollar weed sprayed at the same time. Whatever areas are to big for fill in, resod. IMO, dollar weed isn't always from overwatering. It will also pop up from standing water meaning those areas might be compacted and not draining well.
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