BMW key fob icon - Loads on ebay for cheap, search BMW key sticker 11mm, not sure BMW sell them
Key fob battery - Rechargeable so probably just needs charging and will work. They charge when in the ignition so if you can leave it in the ignition safely overnight or for a period of time or you can try the putting the key on a toothbrush charger trick, they charge on the same principle as the ignition does, have a google for this.
CDV delete - loads of threads on it, there isn't a part to replace if you dont want, just join the pipes up without the valve, job done. DIY:
http://m3.madrussian.net/diy_cdv.shtml For an M3 but same principle.
Battery equipment: It would be for the mobility kit if you got a puncture, will be out of date now anyway (the goo that is rather than the equipment). I've left mine there for 'originality' and brought a slime puncture repair kit like many others
https://www.amazon.co.uk/Slime-CRK0305- ... 24&sr=8-15
Anything like this will be fine in a puncture situation
LEDs - Ebay again, search Z4 LED kit and scan at your leisure. Most listed there will be fine
Sound quality - I'd guess that it's interference from the charger being picked up that's causing you issues. Check your cable and connection otherwise look at a better method such as a Bluetooth dongle, Intravee etc.
Bonnet latch - Yes common, WD40 will be fine or lithium grease, anything along those lines.
Can't help with the other stuff but sure someone else will be along. Regarding the bumper I imagine its been off at some point and the brackets that hold them on are probably broken and need replacing. Not cheap for a bit of plastic but I've read they can be a bugger to get off without breaking.
Z4MR - Karbonius Race / Severn Tuned / 4.1 FD / Bilstein PSS10 / RTAB Limiters / Powerflex’d / PF Camber Arms / K-Sport BBK / RSL-29 / GC Camber Plates / Strut Brace / Exhaust valves / custom brake cooling / underside refresh