Does the MedCo training qualify me to write other types of medico-legal reports?

No. It is only relevant for writing reports for low value (less than £25k) fast track claims for personal injury caused by motor vehicle collision. If you also want to do reports for any other litigation, such as clinical negligence reports (breach, causation, quantum or condition and prognosis) or needs assessment reports you will need to undertake training to establish and maintain your skills for these types of reports too.