Dc-dc solenoid ( basic) lithium compatible?

Auxiliary lithium battery ( 120 amp) + an IP65 shunt fitted compatible with a basic dc- dc solenoid 25amp ( redarc) charger ok to do?

Yes you can use a SmartShunt and Redarc to charge/monitor you lithium battery.
The shunt was to be wired correctly for it to work though.
Have a look at this video for guidance to set up the SmartShunt.