Copper patina has copper sulfate in it, black has nitric acid and selenium compounds, and both will dissolve sponges, rags, clothes, etc. Common sense would indicate that if it will dissolve fabric, it's pretty potent stuff, so use it carefully. It will damage fingernails if it gets underneath and you can't dig it out right away. Basically, wear an apron and rubber gloves and don't slop it all over the place, and you shouldn't have any problems. Read the label.
Most cutting oils are petroleum based.
Keep them away from open flames. Read the label. The liquids used in cement and putty are usually highly flammable, and extremely dangerous if swallowed. Keep your putty area away from heat and open flame. Whiting has lead, putty and oils in it when you sweep it away after cleaning a panel, so sweep gently.