There's no way I'd open that one in the last pic posted, it has what appears to be a fully mature Trichoderma colony in the bottom left sector.
When trichoderma matures and releases spores it can release millions of them in seconds all it takes is a bit of a jolt.
Make yourself an inoculation loop like Therefore suggested and only take spores from mushrooms that have no signs of degradation (soft mushy spots, wounds etc) that have unbroken veils. Break the veils yourself after sterilising the specimen with alcohol and make some sporeprints of known quality.
Just because you see white fluffy growth it doesn't guarantee that it is mushroom mycelium, many moulds and contaminants look white or whitish until they fruit (like that Trich in the last pic did before it matured).
I realise this post sounds a bit harsh, which is not my intention, my point is don't fuck with anything suspicious. Throw it out and use a good one.
Only mess with contaminants if it is an absolute last resort and the culture would be lost without intervention.
Edited by SallyD, 13 July 2012 - 09:35 PM.