The first picture had me think, that the orange stuff is a slime mold and the grey-blueish growth its fruit body. The second picture, where nothing resembling a slime mold is visible, makes me think, that those grey-blueish fruit bodies belong to something from the genus Clavulina. More specifically some kind of club fungus (not a coral, which are in the same genus).
I'm pretty sure the fingery stuff is Xylaria hypoxylon - candlesnuff fungus (dead man's fingers is usually chonkier / more rounded at the end and darker colour). I don't think the orange stuff is slime mould - looks like slime flux or something fungal to me.