There's some good news for both of you- at least some of these things can be configured already, or are present but easily missed.
Add zoom 'fit page' and 'fit width':
You can't add these to the bottom right, but you can break them out as their own buttons on the Quick Access bar.
To do this, right-click on the bar above the Home tab, and choose Customize Quick Access Toolbar.
Pick Home from the drop-down, and then scroll down to the 'Fit Page' and 'Fit Width'. Double click on the item you want to be added, or click on it and press Add.
Keyboard shortcuts:
To add (or check the keyboard shortcut for a command), again right click on the bar above the Home tab, and choose Customize Quick Access toolbar.
Click on Keyboard shortcuts.
Just about every command in Nitro can be assigned a shortcut, including sub-options like Temporarily Rotate View. Outside of this window, you can hover over a menu item to see it's shortcut, and if you press Alt, you'll see the current shortcut letters for all the visible items (if they have one). You can also press the indicated letter, and then the tab or item will pop up and indicate the shortcut key for that level.
Rotate tool:
I'm not sure how to force a different default, but you can definitely rotate all the pages at once. You can do this for the current document, or as a batch process. Under the Rotate tool, you can click on Advanced, and there's an option there to choose the page range.
Under File, Batch Processing, there's an option for Rotate Pages.
Hide the OCR notice:
This option already exists, but is poorly named. Under File, Preferences, Notifications, you want to uncheck "Show in-product messages".
Better highlighting:
I'd also like this, but there's some workarounds you can use currently:
If the document is made Searchable using OCR, you can then highlight anything then.
Otherwise, you can approximate the highlight and other effects with shapes. If you make an appropriately sized shape, color, invisible borders, and transparency (and then go to Properties, and Set as Default), you've got pseudo-highlights.
Hope this helps!