Dendrobium Berry Oda help: roots, shoots, repotting

[amia33]

Hello! I am a real novice with orchids and would like some advice about two things that are currently concerning me please. My orchid is a dendrobium Berry Oda and I've had her for around six months now, she's dropped her flowers once (I'm told this is normal after bringing them home) and now has one flower spike that started blooming last week

My biggest concern is the aerial roots, which look brown and a little shrivelled. Internet searching would suggest she is both over- and underwatered! Here is a picture:


The second thing is that she has some 'dead' looking flower stems where the flowers dropped a few weeks after I brought her home. Can I cut these off, as they're spoiling the look a bit? How is the best way to go about this?



Thank you for all help!