Neither Object Dock nor DesktopX is supported on Win10. You may or may not have luck running either program.
I'm pretty sure that the Object Dock weather won't work anymore, I believe the information feed for it was cut off years ago. The same is true for a lot of DesktopX weather widgets and gadgets, but I think there are some in the gallery that will work all though I have completely lost track of which those might be. Also, widgets require that DesktopX be installed for them to run, gadgets do not require that DesktopX be installed, that can be a source of confusion.
If you kept a backup copy of your DesktopX .exe file you think you may have had, you should be able to install and activate it from that. As for the download availability of it at this point, especially after a subscription lapse, I'm afraid I have no idea.
Sorry I can't be of more help, but at least now you have a better idea of the situation.