Awh don't cry, I notice you don't sleep either (i don't but that's another story).
DP treatment is often basically Depression and Anxiety treatment, at least to start with.. so just say 'Panic attacks, heart fast, world seems 2d, feel detached, deeply depressed' etc etc, you know what to say, sometimes they hate big words like Depersonization, but eventually i'd use it, after you see how it goes first, I was lucky, my first doctor actually told me.. well he didn't he prescribed me medications and then i looked and it said "ptsd" on my screen next time.. i then researched and learnt about DP and he said yes.
Every doctor after him (don't live in the same place) it's been a battle and my GP who is super on my side i taught about DP and he couldn't believe what I knew. He told me he had to research it, unfortunately GP's didn't seem to get a DP memo.
I've been on 14 medications and Zoloft is easily the worst, not to put you off, i hate writing it on this forum, but i've spend 2 years researching daily, it has came up maybe 6 times as it worked. It's good for boosting a bit of depression but offered it or nothing, i'd vote nothing, really didn't enjoy it.
I was treated in England and personally, i'd probably just print the PTSD page on the NHS website, it does talk about dissociating, just not as a disorder. As far as I am aware, it is yet to be something they can type in to the computer, they may know about it, but they just class it as PTSD, you say you have all them symptoms, you will get Mirtazapine, IMO and many i've talked to so much better than Zoloft. Zoloft made me feel goofy, Mirtazapine made me happy but a real type of happy and real emotions, Zoloft was just like being on a drug that was trying to make me happy.
As for not leaving the house, get the right medication and in a few months you don't even have to work at that, but I went a long time without medication with DP and I am off them currently, I found exposure therapy very good, i made it a point to go to the shop every day, and instead of a weekly shop, it was a walk in nature and go to a shop that i hated the lighting and felt floating, this was very important on lowering my anxiety.. i didn't actually see anyone for this therapy but realised that i was basically doing it...