Firstly, it is perfectly acceptable to do compression only CPR. The reason compression only CPR is encouraged is that evidence shows that lay persons can not open an airway
The main reasons that the current resuscitation guidelines advise lay people to do compression only resuscitation is that so many people are unwilling to consider attempting mouth to mouth and although this is more likely to have a good outcome than compression only - doing nothing is definitely less effective than starting chest compressions.
I guess that if you are only giving chest compressions - this should be re-named CR as you are not doing the P bit.
As a nurse, I am trained to administer CPR so always carry a face shield. I have administered mouth to mouth without a mask in the past (successfully) hence why I now carry a mask.
I carry a reasonable equipped first aid kit - including plasters, bandages, Triangular sling bandage, gauze, anti septic wipes, plasters, safety pins, A cool pack, a survival blanket, anti histamine tabs and a Salbutamol Inhaler. Latex free gloves and a couple of polythene bags are also always included .
Likewise I carry a fairly extensive tool kit...
You never know when you will need it or have the opportunity to help someone else who needs it.