Sometimes your lender will give you a credit for the next appraisal, but you'll have to talk to them about that.
If a listing says 'short sale approved' here, i don't assume that anything is written in stone - i just assume that the seller has received approval to participate in a short sale.
Again, we donâ€™t know the details of your specific situation.
Talk to your agent about the wisdom and risk of having the inspection done. Perhaps a chat with his broker is also needed. If the agent and broker expect to eventually earn a commission for helping you to buy a house, maybe they need to step up andâ€¦
I won't comment on the rest of your question, as it is up to you and the agent how you all want to handle that, if at all. There is always a risk in pursuing a short sale including out-of-pocket expenses. Hopefully you can get it resolved.