Gift Phal.

[plumania]

Someone gifted this beautiful Phal to my husband and he brought it home to me with good intentions. How thoughtful of him.
Now trouble is that I killed a Phal in past and do not grow them. I am just now getting better with cattleya and encyclia and have a long way to learn orchids.
This plant had roots tightly packed in moss and stuffed in a vase without any vents. I took most of the moss off and
loosedned roots and put is back in vase till I figure out how to repot.
I read the sticky about taking care of phal and learned a bit there. Still have several pages to read.....it is really really long discussion. While I go about reading them, I have to do something with this plant so roots do not die.

My questions-
1.Can I take the moss off and repot now while it is in bloom or do I pack it back in moss and wait for the blooms to finish. There are 2 spikes. One(large) with few open flowers and other (small) with just buds.

2. I just bought a basket I want to plant it in. Should I put it in basket with the moss or with bark/tree fern/charcoal etc. I worry it may be too dry for now even though better in the long run.
I plan to hang it outside when weather improves.
I understand it should planted at an angle/ leaning on one side - to avoid water in the crown.

3. I know it is difficult but can someone help with the name ? Even if it is just a guess.
Flowers are largish,deep fuchsia with white picotee/edging....no scent.
Plant has large leaves but that could be due to care received at florist's shop. I think it is making a new root (second pic) and there is a new leaf developing. There are some good roots and some dead.

Thanks.