The equalizer will balance the two pressure near as.
With the hot limit, the 15mm as short as possible
https://www.bes.co.uk/pipes-tubes-fittings/pipe-fittings/compression/uk?page=2Hot side get part No 7369 22mm x 1/2".
The cold side you just need 15mm nuts and olives.
Read the instruction as the flow through the valve crosses over, eg goes in the left port and comes out the right hand port. There is also a flow direction through the valve.
You shouldn't need addition check valves