Specifically, the chemistry of peptides at low pH and high organic-solvent concentration is not something most users have intuition for, which is why published methods exist.
Mobile phase pH at the point where you inject must match the mobile phase pH at the start of the gradient, or the sample will not be focused at the column head.
To be exact about it, trifluoroacetic acid at 0.1 per cent is the standard ion-pairing agent because it suppresses tailing by neutralising the basic residues, but it also suppresses mass spectrometry signal.
Peptide separation by reverse-phase high-performance liquid chromatography is described in the general chapters of the United States Pharmacopeia, European Pharmacopeia and Japanese Pharmacopeia, and the methods converge on essentially the same principles.
The practical summary: specify the method, run the same method on every sample you compare, and use orthogonal techniques to confirm the result.