* See important addition at end *
You have not provided enough information to allow a good answer. Provide more information and I'll upgrade this answer progressively.
You don't explain what you are trying to do. Do you you want the relay to operate on sound peaks, or when sound is present at all, or to latch on when sound is detected , or ... . You MUST provide a clear explanation of your actual requirement.
Saying that you had the '308 working and that now it isn't is like saying that "My car was running but now it is broken, what's wrong with it?"
The LM308 is a nice opamp but far better than is needed here.
The LM741 is an OK opamp but has characteristics that will make it VERY hard for you to use here.
The LM358P is just what you want - once we know what it is that you want :-)
There is a 95% chance that we can tell you how to do what you want using an LM358 once you give us enough details.
What are the relay's voltage and current ratings? They should be marked on it. Maybe also coil resistance, brand, model etc. The more we know the better.
Help us to help you - at present your question is unanswerable.
An explanation of what you are trying to achieve is still needed.
A catalog of the D2w203F and similar relays is here
and the datasheet for the D2W203F relay is here
This is a somewhat expensive SSR ("Solid State Relay") with 3-32 VDC control input BUT AC output using an internal TRIAC. It's rated for switching from 24VAC to 280 VAC at 0.06 to 3 Amps. It is not suitable for controlling DC.
It could control AC powered Christmas tree lights either by mains switching or at low voltage. The 2A rating should not be exceeded.
This relay is made only for on/off operation. It may be able to be used to
modulate" the lights in time with the music, if that is the aim BUT the TRIAC switch will always turn on for at least half an AC cycle so use as a "color organ" would be limited.
Tell us what you want and we'll tell you what you need. :-)