You’re correct about both of those things.
That 5k sats limit is too low and something that we’re working to remove, especially for lightning when using the send flows.
As part of our nostr work, sending and receiving is on deck, but not there yet, so you can’t send to lightning addy or LNURL. It’s something we all want to see happen and are working hard to do so.
The workaround for sending 1 sat or more is to tap the QR button at the top of the applet and the paste or scan an invoice.