Should I use only SI units of measurements in review papers?
To avoid confusion and to ensure the comparability of the results, you should use uniform and consistent units throughout the paper. You can write a note explaining that in the original paper the authors used pounds, furlong per fortnight etc.

And of course, yes, use the SI units. Nowadays all non-SI units are defined in terms of SI units. However, don't trust random sources for the conversion factors: an up-to-date and recommended source for conversion factors is the NIST Guide to the SI, Appendix B: Conversion Factors.