I gave the iOS app a spin. 1. It requires at least 2 characters to search for a symbol. What about Verizon (V) or AT&T (T)? 2. I entered a holding for a fund that doesn’t have public quotes by choosing not to look up the symbol and entering the price and purchase date, but then I couldn’t find a way to manually add price quotes for later dates to reflect the change in value.

You can search by company name. For manual pricing, click on an added manual holding, then there is a tab "Quotes" in the top right to view and edit the prices.