Polycarbonate (PC)and acrylic which is actually poly methyl methacrylate (PMMA) are 2 quite different materials, however both can be glued with solvents such as methylene chloride.
PLEASE NOTE. Methylene chloride is considered castionogenic, and may be banned in some areas, and should always be handled with caution.
The tail light lenses are most likely PMMA, but quite possibly PC. The housings if a seperate moulding, are quite possibly PC/ABS, or even ABS
Regards
pat
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