[carrie]

is there  possibly  any reaction between lead sulphate and HNO3?

[sdekivit]

hint: acid-base

[AWK]

Lad sulphate slightly dissolves in hot concentrated HNO3, but afeter cooling crystalls of PbSO4 precipitate. You need quate huge amount of NHO3 to dissolve a fee grams of PbSO4 (This method is unpractical, except for obtaining crystals for X-Ray).
In the solusion an equilibrium exists:
SO₄^2- + H₃O⁺ = HSO₄^- + H₂O
since H2SO4 is a weak acid on the second stage of dissociation