Freeze thaw of cells leads cells to rupture and release their contents in to the media collected with which leads to improper protein collection. Better perform another expt.
If you want to analyse the entire protein profile you can extract protein by lysing with RIPA buffer as rightly mentioned. If you want to analyse proteins in different compartments of cell then you can use buffers with varied salt concentration and fractionate cytosol, nuclear and chromatin bound proteins. There are various protocols available which you can go through.
I will do new experiment and in time of cell collection i will use the RIPA buffer for protein extraction and go ahead my project ... i will not store the cells at -80 C ...