Looks like dents with glue!
I would try Fender3x's suggestion to see if you can get the wood to swell.
How do you intend to finish the body - with paint or stain? This may affect how much it matters about removing the dents! They can be filled either way.
Also, are you intending to use the pickguard? Since the guard covers 2 of the dents, it may only be the two out marks that really matter.