Probably.
That depends on yield, burst height/depth, exact effect you are concerned about, weather, and many other variables.
Cockroaches would survive a nuclear war. Since lawyers are an even lower life-form they should too.
A direct nuclear blast - nothing. However it is said that cockroaches would possibly survive radiation where other animals would be killed.
No cockroaches are one of the few organisms able to survive nuclear explosions. Scorpions cannot.
Cockroaches are known for their resilience and ability to survive extreme conditions, but it is unlikely that they would survive a nuclear explosion due to the intense heat, pressure, and radiation levels produced. The blast would likely be lethal to them.
There is no definitive "safest" place in London to survive a nuclear bomb as the impact would be widespread. However, underground structures such as the London Underground network or purpose-built nuclear shelters may provide some level of protection from initial blast and radiation effects. It is important to follow official guidance in the event of a nuclear attack.
It is a myth that roaches could survive a nuclear bomb. The heat would evaporate them.
The blast effects (which is all the question as worded asks about) would be the same as the blast effects of a weight of TNT identical to the nuclear bomb's yield (by definition). However a nuclear bomb has additional effects that the TNT doesn't, but as this question only asked about blast effects, I won't visit them.
Underground bunkers or shelters specifically designed to withstand nuclear blasts and radiation would be the most likely to survive a nuclear war. These structures provide protection from the initial explosion and fallout, increasing the chances of survival for those inside.
Yes if they are sheltered from the initial extreme temperatures which would toast them. The remaining effects due to radiation are within the roach (species) toleration although individual roaches may die. That's how evolution works.
Insects have higher LD50 for radiation exposure than mammals. LD50 is defined as the dose of something toxic that results in 50% fatality in the exposed group. However insects would have similar problems to mammals surviving the thermal effects.
Radiation poisoning moved around the world by the wind.