If you don't mind me saying this: any succulent you buy & keep in jars like that will die sooner or later. In a jar/bottle like that - most likely very fast. Terrarium style containers are really bad for succulents. They may look very nice - I like the look - but are def not suitable for succulents. They do not have any drainage, humidity gets too high, when in any sun - it will get hot & stuffy there. No wonder one is already dead. I think it is really bad that stores sell or recommend these kind of 'set-up'. If you want terrarium, get one with high humidity & moisture loving plants, not succulents that grow in pretty dry & gravely conditions. If you want to keep any succulent for any length of time, get regular container, with a drainage holes. And use fast draining mix.

Could be Austrocylindropuntia sublata, see link: Austrocylindropuntia subulata Your plant does look a little etiolated so may benefit from a sunnier position.

Certainly a Haworthia, looks like H. cooperi.

Agree with Kara on the ID. Usually Altman's and Costa Farms often glue on those horrible fake flowers. Kara is right. You can remove with tweezers and some patience. I also have a "brain cactus" (Mammillaria Elongata cristata) that came with plastic flowers, and it actually grew so much that it "forced" the plastic flowers off. So -- if you don't have luck TAKING them off, grow your plant and let the plant do the work. ;-) You have a very pretty Fairy Castles.