Go to the room below and measure at different points the distance between the floor and the ceiling .

,Almost wish I had the filter excuse to get me in gear, but I live in a beautiful part of California in the Bay where we don't really have furnaces or AC :)  Radiant ceiling heat in one 4plex, and gas wall heaters in others are typical..

Within 4 days of move in, there was a major leak under the master tub...big enough that the foyer ceiling below (original plaster and lath) was cracked and sagging, and then it somehow dripped all the way down into the basement and soaked a large section of the basement ceiling as well.Luckily, we had already hired a plumber (prior to them even inquiring about the house) to install a back flow valve as part of the city's sewer upgrade.  

Hardwood lasts forever.If the existing ceiling to the bar is a drop ceiling you can soundproof above the drop ceiling with insulation too.

Find someone who can start with a hole in the ceiling and have it painted, textured and cleaned up like nothing happened within a couple hours.

I take pictures of every wall, ceiling, floor, cabinets open and closed, front/back of doors, inside closets, appliances inside and out, windows inside and out, window blinds or curtains open and closed, etc. 30 minutes documenting your property before and after each tenancy can save you a lot of trouble and money.

We just had a heavy rainfall over the past week and my tenant notified me that their is water leaking through the ceiling into their laundry room.

@Anthony DooleyLet's consider a hypothetical scenario your tenant on top floor one fine day decides to shower outside of the bath tub  near the toilet causing a wet subfloor and keeps doing it repeatedly until you start seeing leaky ceiling on the lower level floor, would you dismiss it with a "not too broke" argument and endure the repairs out of pocket?

The ceilings were almost brown!

Suppose now that the proposal before the City Council contemplates imposing a price ceiling on apartment rentals, but not on house rentals.