I think you are close. I am not 100% sure but noticed a couple of things:
- Do you want to change this to
192.168.1.100also?

- This looks like 6 digits:

…but then the password here looks like 5 digits

- Also see above, is there a specific reason why you don’t specify port 1883 after
server: mqtt://192.168.1.100? - For the mosquitto config, is there a reason why you don’t specify username and password?

For the purpose of debugging, you might want to use the mqtt explorer add-on on the Home Assistant, which is 192.168.1.100 and supposedly your mqtt broker.