I'm not a Lycaste expert. I think you're lycaste is very pretty. I don't think it has a serious illness.
The bloom looks like water droplets didn't dry and parts of the bloom had a rot.
The peusdobulb has a rot. I'm not sure the cause, but I think it is water related. I would remove it with sterile tools. I don't think it is very serious.
Perhaps use a fungicide or dab cinnamon on the wound. cinnamon is a natural fugicide.
My Lycaste aromatica has its very oldest psuedobulbs turning brown. I know that mine is from another section and it is deciduous. It rotted because it was watered too early when it broke dormancy.
Julie seems to know more about Lycastes....