There is an order of trial error to go through.
Try to use UI's discovered by the recorder
Try to capture the UI's yourself
Try to offset a known UI to click where you need to. For example, you said the recorder worked for "Duplicate". So if you can get to the Duplicate UI, but you are having trouble with the rename UI, then get the duplicate UI and tell the left click to offset about -20 on the y axis. Play around with this number until it clicks where you want it to.
Try to use hotkeys. If you have this right click open, can you press Alt, and any underlines appear? If so, then use Send Keys to select the option, such as Send Keys {Alt}(r) for rename.
Instead of hotkeys try using a combination of keyboard controls. For example, if you have this right clicked, I bet Send Keys {Down:4}{Enter} would work to go down 4 menu items and press enter.
As a last result, you can always use Move Mouse to Image which has a built in click option.
Best of luck!
