why do I have power to my 220 circuits and my 110 outlets but 110 outlet will not power anything?
Usually this is caused by a bad connection. With no current, you show full voltage (we've been on 120/240 for a few decades now, might want to update your 110/220 thinking) but when you actually try to power a load, the high resistance in the bad connection drops the voltage so the load gets very little voltage.
So, check the connections. If you can check voltage while under load (easiest might be a plug-through meter) you would see it drop when a load is connected past the bad connection, and not drop when it's measured before the bad connection.
If you self-installed and did not use a torque controlled driver, get a torque controlled driver and check the panel labeling for proper torques for each type/size of connection (with the power off, of course.)
If the breaker and outlet work fine in another panel, the bad connection would appear to be in the connections to this panel. If the 240V loads are working and the test 120V load is not, then that points to the neutral connection as being most suspect.