Maybe I'm not understanding the question, but it's certainly possible to have several substantially de-shielded proton environments in a single molecule. The fact that there are separate peaks indicates the absence of rapid exchange, so aldehydes seem somewhat more likely than acids if you're using a solvent with exchangeable protons/deuterons (i.e. water). But if it's a big molecule dissolved in an aprotic solvent, one could also imagine having four isolated acid groups -- this is particularly likely if the four peaks are singlets (is this what you mean by "single pics"?). Analysis of J-couplings or heteronuclear correlation experiments (also possibly NOESY) would certainly help with assignment.
If you see correlations in HMBC and not in HMQC then the protons are most likely attached to O or N.Ralf mentioned before that protons involved in hydrogen bridges are often seen at these chemical shits. Do you know the molecular formula. If there are no nitrogens all these protons would be on oxygens. You should be able to find the carbons that are attached to these oxygens from their shift and the HMBC correlations.