In Advanced Excel Templates II, templates are now regular Excel files. They don't contain macros anymore (you can add your own macros but the program does not require macros anymore).
To upgrade your previous templates, open them in Advanced Excel Templates (not Advanced Excel Templates II) as if you wanted to edit them and save them as .xslx files. Since these files contain macros, Excel will give you a choice to save as a macro-free workbook or not. Click yes, as you don't need the macros anymore as explained above.
If you already have uninstalled EQIM, change the extension of the template from .XCT/.XYT/.XGT/.XOT to .XLS. Then open it with Excel and save it as .xlsx files as explained above.
Then open the template for editing in Advanced Excel Templates II and replace, if any, the AutoNumber and Today's date placeholders. Then save.
If you used buttons in your layout, they will have to be recreated.