If your contract calls for you to perform as described above then move forward or you may cancel and lose nothing. It is a conversation with your Realtor and read your contract yourself as well, don't leave it up to being told what it says know it as well.
Best of luck
You need to consult with your Realtor and read your contract, know what you signed and if you have questions ask your agent that is what they are there for is to answer your questions and represent your best interests.
Now with that out of the way...The listing agent could as a courtesy, if they have it offer you a copy of the home inspection, but there is a chance that they don't have it. Your agent can ask. As for earnest money, again it depends on your contract and how it is written if you need to front it now. Typically once the contract is signed by all parites and the bank has approved the short sale price, yes you would deposit your earnest money and then proceed with your own inspections, always always, always get your own inspection. Your agent can help you to find a reliable inspector.
As for your earnest money again this is dependent on your contract and how it is written, is the earnest money non-refundable? Are you buying the home as-is? etc...there are so many what ifs that only your Realtor who wrote the contract can truly answer your questions.
Good luck I hope it works out for you...always read what you are signing and know what it means ask for further explanations on things you don't understand. Consult a termite company for questions on the termites.
YES always get your own inspection
Termites... based on the condition would not turn me off on a home, they can be treated however if there is damage to property and etc. I would reconsider BUT unknown till your determine that.
Listing agent can't disclose any information on a property UNLESS they have knowledge. Unknown what the listing agent does or does not know
If you like the home pursue it... if you don't keep looking