It looks like the load current is simply too high for the 555 to run directly.
Try adding a transistor buffer to drive the relay or lights, rather than running them from the 555.
This is an example of a 555 driving a relay via a transistor buffer:
You should also really have a decent size capacitor across the power connections on any bit of electronics (eg. something like 100 - 470uF between 1 & 8 on the 555) and if you use a relay or inductive load, add a "flywheel diode" otherwise the inductive kick as it switches off can mess things up or damage components; that's D1 in the diagram above.
With a 555, the small cap from pin 5 to ground is also good practice.