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I solved the Eliashberg equations for a multiband non-phononic <inline-formula><math display="inline"><semantics><mrow><mi>s</mi><mo>±</mo></mrow></semantics></math></inline-formula> wave spin-glass superconductor, calculating the temperature dependence of the gaps and of superfluid density. Their behaviors were revealed to be unusual: showing non-monotonic temperature dependence and reentrant superconductivity. By considering particular input parameters values that could describe the iron pnictide <inline-formula><math display="inline"><semantics><mrow><mi>E</mi><mi>u</mi><mi>F</mi><msub><mi>e</mi><mn>2</mn></msub><msub><mrow><mo>(</mo><mi>A</mi><msub><mi>s</mi><mrow><mn>1</mn><mo>−</mo><mi>x</mi></mrow></msub><msub><mi>P</mi><mi>x</mi></msub><mo>)</mo></mrow><mn>2</mn></msub></mrow></semantics></math></inline-formula>, a rich and complex phase diagram arises, with two different ranges of temperature in which superconductivity appears.