How to connect a rotel rsx 1065 to a HD flat screen

Visit rsx1065_eng (rotel.com) for manual and refer to page 44 (Troubleshooting)

https://www.rotel.com/contact-us

Several possibilities come to mind. First shorted connections to speaker wires. Faults in the power supply. Sometimes if the unit has not been working for a while the large capacitors in the power supply can dry up.
An overload on a power transistors.

Look in the manual

http://www.manualsdir.com/manuals/198428/rotel-rsx-1057.html

Probably the EEPROM, the heart and brain of the appliance.
I had the same issue with my AIWA, could not figure out the cause, took it in, tech told me EEPROM is blown.
Not economical to repair.

Do an auto search method to search for codes. If the remote control have set-up code to your device, you will win. If not, buy an other remote control, which have set-up code/s to your device brand.
If you wish to get more details; check the sites linked here. It has set-up code list & set-up procedure to many popular brand remote controls. Common codes to check devices with different brand TVs are given, in the order of the device's brand name list in alphabetical order. Pull up older posts. Surf the site with patience.
http://remotesearch.blogspot.com/
http://electrohelponline.blogspot.com/

I do not know anything about your brand or market, but I have had good success with replacement remotes at http://www.replacementremotes.com/
They have a very wide selection of mostly refurbished remotes.
Originally supplied with RSX 1058 is this:
http://www.replacementremotes.com/ROTEL/Buy-RR-1061-RR1061-Audio-Remote-Control.html

If you stored it in an area with high moisture content it is probably corroded at most of the contact switches. Capacitors also hate moisture, especially paper capacitors! The tuner is also probably oxidized inside. Now is the time to be brave and pull it apart, but first PULL OUT THE PLUG from the wall. Have at it with electric parts cleaner spray and clean, dry compressed air. If you believe that just because you stored it in your house, there was no moisture, think again! Radios like cars do not do well in storage unless you take precautions to protect them!

Unless yuo can find a Rotel authorized service center, you are not likely to find any service information. These units should not be difficult to repair. Their designs are pretty much standard with a few twists. Any shop that handles audio repair should be able to resolve this. If not, please post your location and I'll try to locate a shop for you.

Also, are there any indications that the unit is trying to work at all or is it completely dead?

Thanks,
Dan