@Stephen ********
no, there is no 90days extension on Non-O visa/extension. 1-year extension or in your case, 60days family visit extension (which you can apply once per entry/visa) are the type of extensions you can apply for.
In-country Non-O visa is No entry because you are already inside Thailand (no need to 'enter').
Once you get a 1-year extension, you can get a re-entry permit (single or multiple entry) BEFORE you leave Thailand, then you can come back on the extension you already have.