Did you download them from this
thread? If not, I urge you to do so as other places don't have the fully updated patches.
Your patches may not be updated. Download the latest from this
thread.
If we're talking strictly Nintendo consoles, the Wii U is by far the best for emulation. After that, the Wii would be your best choice. Despite being handheld, the Switch isn't ideal for emulation.
Technically, you can update games quickly by going online but if your console is hacked, you risk getting banned. If you want to safely update your games, you will have to download the updates illegally from the Internet and install them with your preferred title manager. Since they are illegal, there is no easy way to find them. As for cheats, this
thread should be able to answer all those questions.