would caterham parts like cycle wings (front and rear), nose cone, and aeroscreen fit a locost??
Yes because you make your Locost to fit them !
The guards would depend on your tyre size.
The aeroscreen should be able to be adapted (assuming you already have a chassis), provided it is roughly the right width.
The nosecone might be too wide for a 'book' locost, though.
Caterham , nosecone and arches work on a Locost book chassis .
It's sometimes surprising if you ring Caterhams the parts are cheaper than Kitcar copyists , better quality , better service.
And no I do not have shares in caterham cars!!