3rd Gear,the first pic of your bike looks like extra chain lube dripping from the front cog.It happened with every new bike and may not be an issue.the second pic definitely looks like an oil leak, something you must take up with the dealer. perhaps a new nut with a better rubber seal would do the trick.these minor niggles are part of the eccentricity of owning a Royal Enfield.
BTW, if you also see a piece of gasket sticking out, this is also normal. Apparently the same gasket is used for another bike (maybe the g5?!) and the c5 only uses part of the gasket, so they install it, then tear off the excess.