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Your pictures are being shown fuzzy. Can't make out what 2nd pic is showing.
Suggest repost pics. However, the first pic:
This bracket secures the small turbo cooling line coming out of the thermostat manifold.
The bracket is mounted piggyback to the vacuum pump lower mounting bolt. Then, attach the coolant line to the bracket using a 6x12mm bolt.
see RealOEM.com (BMW/Mini parts diagrams)
Not sure about the first pic, but the part in the second pic is definitely the transmission vent breather tube for the Aisin automatic transmission. If you need a picture if where it goes, I can provide one later today.
The first part could be the holding bracket of the water line that goes to the turbo and the expansion tank. It may attach to the lower front bolt of the vacuum pump.
The first part could be the holding bracket of the water line that goes to the turbo and the expansion tank. It may attach to the lower front bolt of the vacuum pump.