Reusing the existing cable because the old bank was the same amp-hours.
Amp-hours are not the issue. Lithium can deliver far higher current into a fault or an inverter.
Sizing
Size every run for the highest sustained current that run can actually pass, then check it again for voltage drop over the round-trip length. The cable on an older boat was sized for a bank that could never deliver lithium's currents.
For the inverter feed that is its continuous rating, not its surge. For the DC-DC charger it is the charger's output. For the windlass it is the loaded draw, not the free-running figure.
Choose a conductor rated to carry that current continuously at the temperature it will actually sit at. Cable bundled in a hot engine bay carries less than the same cable in free air, and the rating tables assume free air.
Measure positive and negative together, since the current goes both ways. A charging run that drops too much voltage will never finish the charge, and the monitor will show a bank that never quite fills.
Current capacity and voltage drop give two different cable sizes. On long runs, voltage drop almost always wins, and it is the one people skip.
Crimped, heat-shrunk, tinned lugs, torqued to specification, with no more than four connections on a stud. A loose terminal on a lithium bank is a heat source with a very large power supply behind it.
Cable that was adequate for a lead-acid bank and no inverter may be badly undersized for what the new system can pass. Any run you reuse needs the same two checks as a new one.
Reusing the existing cable because the old bank was the same amp-hours.
Amp-hours are not the issue. Lithium can deliver far higher current into a fault or an inverter.
More on sizing
Take the load estimate, charging sources and cable runs to a qualified marine electrician. Our installation guide helps you ask about isolation, over-current protection, ventilation and compliance before work begins.