New answers tagged paint
Assuming both original and new paint are latex, try another coat on the problem areas. That should clear up the dry spots. In the future, you'll probably get better results with primer+finish. And I wouldn't skim unless the surface was really lumpy.
You can rent floor grinders. Properly set you can take off a very thin amount of concrete/paint. Then you would likely have to get the edges with a smaller tool. On a side note a slightly rougher surface will help your mortar etc stick to the concrete. I think you're correct in trying to get this up though. Seems like it could be a problem in the future. ...
I would use a heat gun. Been here before even on thick drywall with up to four layers of paint. Wear a mask and have good venting. Shaves off with a scraper after heating with ease. Not too close or it'll ignite. Wave it in small 6 inch circles and start in on the edges. Once it bubbles or humps it's ready to scrape.
You could try running a putty knife or something behind them, but my actual advice for removing them is to have the spackle or drywall compound and paint handy, as scars are to be expected. Hmm - heat (as from a hair dryer - not so much as to scorch paint) might also help loosen the adhesive a bit. As for the left-behind adhesive the usual suspects - ...
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