Batch testing establishes what can be claimed about the lot as a whole, and the sample size determines how much you can actually claim.
Testing a vial that has been open in the lab for three months is testing aged material, not the fresh lot, and the result should be explicitly noted as a retest.
The relevant pharmacopoeial reference points here are the general chapters on peptide purity and on bacterial endotoxins; both specify method validation requirements that research-grade certificates almost never claim to meet, and the absence of that claim is itself information.
Worth noting that thermal excursions during shipping affect different vials differently, so the lot may not be homogeneous even if it left the factory that way.
In practice: ask for the chromatogram, check the method section, check the lot number against the vial, and set your accept threshold before you see the result rather than after.