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Yeah, just replace the connectors. Make sure that you get connectors that will fit the wires and the spade connectors on the board. Also a decent crimping tool to do the crimping, i use a bit of leaded solder as I have had years of poor crimping tools and having to double up to get a good join.
Also careful when removing the connectors as pulling them out might damage the spade connector on the board. A trick can be to lift the tab on the connector
this is the existing unit, which i believe this document pertains to (useful!)
this is a close up of the bundle of wires which seem irrelevant:
and a closer look at the b/r/w wire endings which were severed:
from the corresponding wires on the outer part of the handset which comes away:
from the instructions of the booklet i found (link above) it looks like i just need to reconnect the b/r/w wires?