bathroom locks

Recently locks to my bathroom got broken. Before I buy new ones to replace I want to check if parts can be found to fix them. Attaching pictures, not sure what names of the parts, the meta bits that turn inside were broken. Both parts were broken into pieces. Cheers

Hi, My bathroom has a euro cylinder lock which has become jammed and is sticking - I've tried lubricating it already with WD40 as per the advice I found on Google here https://www.lathamshardware.co.uk/blog/how-to-guides/euro-cylinder-lock-stuck/ but it unfortunately hasn't budged. I'm looking...