Yes, check for fuel pressure. You’ll need a gauge. The fuel pump is very easy to change - you get to it through an access hole under the back seat. They’re a little pricey but not having to drop the tank is somewhat priceless.
You cleaned the IAC - but did you check it? Get the electrical specs and take a multimeter to it and its power supply. Though you can check fairly quickly on it my seeing if it will stay running with a little throttle. If some throttle can keep it running then certainly check the IAC.