Should I remove the old plaster that is cracked

Old lath and plaster walls are prone to cracking. Over time the plaster separates from the lath, creating structural cracks. Plaster is also prone to thinner spider-web cracks, which occur when the topcoat of the plaster degrades.

It’s common to have both kinds of cracking — and both types can be repaired. How can you tell the difference? A structural crack “will be beefier, it will be longer. A structural crack will also move when you press one side of it “like plate tectonics.”

The cracks keep returning because you haven’t repaired the underlying problem — you’re just covering up the wound with paint. Wallpaper would give you the same result. You need to repair the walls before you cover them. A professional painter should be able to repair minor cracking.
 
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